-2(v+5)=7v-6+2(3v+7)

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Solution for -2(v+5)=7v-6+2(3v+7) equation: 


Simplifying
-2(v + 5) = 7v + -6 + 2(3v + 7)

Reorder the terms:
-2(5 + v) = 7v + -6 + 2(3v + 7)
(5 * -2 + v * -2) = 7v + -6 + 2(3v + 7)
(-10 + -2v) = 7v + -6 + 2(3v + 7)

Reorder the terms:
-10 + -2v = 7v + -6 + 2(7 + 3v)
-10 + -2v = 7v + -6 + (7 * 2 + 3v * 2)
-10 + -2v = 7v + -6 + (14 + 6v)

Reorder the terms:
-10 + -2v = -6 + 14 + 7v + 6v

Combine like terms: -6 + 14 = 8
-10 + -2v = 8 + 7v + 6v

Combine like terms: 7v + 6v = 13v
-10 + -2v = 8 + 13v

Solving
-10 + -2v = 8 + 13v

Solving for variable 'v'.

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

Add '-13v' to each side of the equation.
-10 + -2v + -13v = 8 + 13v + -13v

Combine like terms: -2v + -13v = -15v
-10 + -15v = 8 + 13v + -13v

Combine like terms: 13v + -13v = 0
-10 + -15v = 8 + 0
-10 + -15v = 8

Add '10' to each side of the equation.
-10 + 10 + -15v = 8 + 10

Combine like terms: -10 + 10 = 0
0 + -15v = 8 + 10
-15v = 8 + 10

Combine like terms: 8 + 10 = 18
-15v = 18

Divide each side by '-15'.
v = -1.2

Simplifying
v = -1.2

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