The equation-3(5v+2)=54 is solved in several steps below for each step choose the reason that best justifies it.

1. -3(5v + 2) = 54 ==> given equation

2. -15v - 6 = 54 ==> distributive property of equality

3. -15v - 6 + 6 = 54 + 6 ==> additive property of equality

4. -15v = 60 ==> simplifying

5. -15v/-15 = 60/-15 ==> division property of equality

6. v = -4 ==> simplifying

Step-by-step explanation:

1. this is the equation given

2. distributive property of equality : a(b+c) = a*b + a*c

this is applied in step 2. eg. -3(5v+2) = -3*5v + -3*2= -15v - 6

3. to isolate the variable we must get rid of the -6. to do so we add 6 to both sides hence using the additive property of equality.

4. we then simplify both sides of the equation as we just added 6 to both sides

5. to isolate the variable we have to get rid of the -15 in -15v

v is being multiplied by -15

the inverse of multiplication is division so to get rid of the -15 we divide by -15. what ever we do to one side we must do to the other, hence the division property of equality

6. we then simplify the division

and we are done!

7.25

step-by-step explanation:

we know that 7 equals to 7.0. we also know that 1/4=0.25. so we can add the two together and we get 7.25

2

step-by-step explanation: