- 1/2(2n + 4) + 6 = -9 + 4 (2n + 1)

n = 1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

-1/2(2n + 4) +6 = -9 + 4 (2n + 1)

(-1/2)(2n) + (-1/2)(4) + 6 = −9 + (4)(2n) + (4)(1) (Distribute)

−n + −2 + 6 = −9 + 8n + 4

(−n) + (−2 + 6) = (8n) + (−9 + 4) (Combine Like Terms)

−n + 4 = 8n + −5

−n + 4 = 8n − 5

Step 2: Subtract 8n from both sides.

−n + 4 − 8n = 8n − 5 − 8n

−9n + 4 = −5

Step 3: Subtract 4 from both sides.

−9n + 4 − 4 = −5 − 4

−9n = −9

Step 4: Divide both sides by -9.

-9n/-9 = -9/-9

n = 1

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25

i believe the correct answer is b.