Step-by-step explanation:
Final result :
-3z - 8
———————
4
Step by step solution :
Step 1 :
1
Simplify —
5
Equation at the end of step 1 :
1 1
(0-(—•(7z-4)))+(—•(5z-15))
4 5
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
5z - 15 = 5 • (z - 3)
Equation at the end of step 3 :
1
(0 - (— • (7z - 4))) + (z - 3)
4
Step 4 :
1
Simplify —
4
Equation at the end of step 4 :
1
(0 - (— • (7z - 4))) + (z - 3)
4
Step 5 :
Equation at the end of step 5 :
(7z - 4)
(0 - ————————) + (z - 3)
4
Step 6 :
Rewriting the whole as an Equivalent Fraction :
6.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 4 as the denominator :
z - 3 (z - 3) • 4
z - 3 = ————— = ———————————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
6.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(4-7z) + (z-3) • 4 -3z - 8
—————————————————— = ———————
4 4
Step 7 :
Pulling out like terms :
7.1 Pull out like factors :
-3z - 8 = -1 • (3z + 8)
Final result :
-3z - 8
———————
4
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Final result :
-3z - 8
———————
4
Step by step solution :
Step 1 :
1
Simplify —
5
Equation at the end of step 1 :
1 1
(0-(—•(7z-4)))+(—•(5z-15))
4 5
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
5z - 15 = 5 • (z - 3)
Equation at the end of step 3 :
1
(0 - (— • (7z - 4))) + (z - 3)
4
Step 4 :
1
Simplify —
4
Equation at the end of step 4 :
1
(0 - (— • (7z - 4))) + (z - 3)
4
Step 5 :
Equation at the end of step 5 :
(7z - 4)
(0 - ————————) + (z - 3)
4
Step 6 :
Rewriting the whole as an Equivalent Fraction :
6.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 4 as the denominator :
z - 3 (z - 3) • 4
z - 3 = ————— = ———————————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
6.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(4-7z) + (z-3) • 4 -3z - 8
—————————————————— = ———————
4 4
Step 7 :
Pulling out like terms :
7.1 Pull out like factors :
-3z - 8 = -1 • (3z + 8)
Final result :
-3z - 8
———————
4
Processing ends successfully
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