-2(v+5)=9v-9+2(2v+1)

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Solution for -2(v+5)=9v-9+2(2v+1) equation:


Simplifying
-2(v + 5) = 9v + -9 + 2(2v + 1)

Reorder the terms:
-2(5 + v) = 9v + -9 + 2(2v + 1)
(5 * -2 + v * -2) = 9v + -9 + 2(2v + 1)
(-10 + -2v) = 9v + -9 + 2(2v + 1)

Reorder the terms:
-10 + -2v = 9v + -9 + 2(1 + 2v)
-10 + -2v = 9v + -9 + (1 * 2 + 2v * 2)
-10 + -2v = 9v + -9 + (2 + 4v)

Reorder the terms:
-10 + -2v = -9 + 2 + 9v + 4v

Combine like terms: -9 + 2 = -7
-10 + -2v = -7 + 9v + 4v

Combine like terms: 9v + 4v = 13v
-10 + -2v = -7 + 13v

Solving
-10 + -2v = -7 + 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 = -7 + 13v + -13v

Combine like terms: -2v + -13v = -15v
-10 + -15v = -7 + 13v + -13v

Combine like terms: 13v + -13v = 0
-10 + -15v = -7 + 0
-10 + -15v = -7

Add '10' to each side of the equation.
-10 + 10 + -15v = -7 + 10

Combine like terms: -10 + 10 = 0
0 + -15v = -7 + 10
-15v = -7 + 10

Combine like terms: -7 + 10 = 3
-15v = 3

Divide each side by '-15'.
v = -0.2

Simplifying
v = -0.2

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