-9(v+4)+3v+7=7v+10

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Solution for -9(v+4)+3v+7=7v+10 equation:


Simplifying
-9(v + 4) + 3v + 7 = 7v + 10

Reorder the terms:
-9(4 + v) + 3v + 7 = 7v + 10
(4 * -9 + v * -9) + 3v + 7 = 7v + 10
(-36 + -9v) + 3v + 7 = 7v + 10

Reorder the terms:
-36 + 7 + -9v + 3v = 7v + 10

Combine like terms: -36 + 7 = -29
-29 + -9v + 3v = 7v + 10

Combine like terms: -9v + 3v = -6v
-29 + -6v = 7v + 10

Reorder the terms:
-29 + -6v = 10 + 7v

Solving
-29 + -6v = 10 + 7v

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '-7v' to each side of the equation.
-29 + -6v + -7v = 10 + 7v + -7v

Combine like terms: -6v + -7v = -13v
-29 + -13v = 10 + 7v + -7v

Combine like terms: 7v + -7v = 0
-29 + -13v = 10 + 0
-29 + -13v = 10

Add '29' to each side of the equation.
-29 + 29 + -13v = 10 + 29

Combine like terms: -29 + 29 = 0
0 + -13v = 10 + 29
-13v = 10 + 29

Combine like terms: 10 + 29 = 39
-13v = 39

Divide each side by '-13'.
v = -3

Simplifying
v = -3

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