v-7+4(3v+2)=-2(v+1)

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Solution for v-7+4(3v+2)=-2(v+1) equation:


Simplifying
v + -7 + 4(3v + 2) = -2(v + 1)

Reorder the terms:
v + -7 + 4(2 + 3v) = -2(v + 1)
v + -7 + (2 * 4 + 3v * 4) = -2(v + 1)
v + -7 + (8 + 12v) = -2(v + 1)

Reorder the terms:
-7 + 8 + v + 12v = -2(v + 1)

Combine like terms: -7 + 8 = 1
1 + v + 12v = -2(v + 1)

Combine like terms: v + 12v = 13v
1 + 13v = -2(v + 1)

Reorder the terms:
1 + 13v = -2(1 + v)
1 + 13v = (1 * -2 + v * -2)
1 + 13v = (-2 + -2v)

Solving
1 + 13v = -2 + -2v

Solving for variable 'v'.

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

Add '2v' to each side of the equation.
1 + 13v + 2v = -2 + -2v + 2v

Combine like terms: 13v + 2v = 15v
1 + 15v = -2 + -2v + 2v

Combine like terms: -2v + 2v = 0
1 + 15v = -2 + 0
1 + 15v = -2

Add '-1' to each side of the equation.
1 + -1 + 15v = -2 + -1

Combine like terms: 1 + -1 = 0
0 + 15v = -2 + -1
15v = -2 + -1

Combine like terms: -2 + -1 = -3
15v = -3

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

Simplifying
v = -0.2

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