Question

question 9 of 28 solve for v. 9+3(4v-5)=-2(3v-3)+4v simplify your answer as much as possible. question 10 of 28 solve for x. -2(4x-7)+8x=4(x+6) simplify your answer as much as possible. question 11 of 28 solve for v. -2v+4=2(v-4) simplify your answer as much as possible. v= question 12 of 28 solve for v. 36=8v+2(v-2) simplify your answer as much as possible. v=

Explanation:

Question 9

Step1: Expand both sides

$9 + 12v - 15 = -6v + 6 + 4v$

Step2: Combine like terms

$12v - 6 = -2v + 6$

Step3: Isolate v terms

$12v + 2v = 6 + 6$

Step4: Simplify and solve for v

$14v = 12 \implies v=\frac{12}{14}=\frac{6}{7}$

Question 10

Step1: Expand both sides

$-8x + 14 + 8x = 4x + 24$

Step2: Simplify left side

$14 = 4x + 24$

Step3: Isolate x term

$4x = 14 - 24$

Step4: Solve for x

$4x = -10 \implies x=\frac{-10}{4}=-\frac{5}{2}$

Question 11

Step1: Expand right side

$-2v + 4 = 2v - 8$

Step2: Isolate v terms

$-2v - 2v = -8 - 4$

Step3: Simplify and solve for v

$-4v = -12 \implies v=\frac{-12}{-4}=3$

Question 12

Step1: Expand right side

$36 = 8v + 2v - 4$

Step2: Combine like terms

$36 = 10v - 4$

Step3: Isolate v term

$10v = 36 + 4$

Step4: Solve for v

$10v = 40 \implies v=\frac{40}{10}=4$

Answer:

Question 9: $v=\frac{6}{7}$
Question 10: $x=-\frac{5}{2}$
Question 11: $v=3$
Question 12: $v=4$