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

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


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

Reorder the terms:
7v + -7 + 3(1 + 2v) = -3(v + 4)
7v + -7 + (1 * 3 + 2v * 3) = -3(v + 4)
7v + -7 + (3 + 6v) = -3(v + 4)

Reorder the terms:
-7 + 3 + 7v + 6v = -3(v + 4)

Combine like terms: -7 + 3 = -4
-4 + 7v + 6v = -3(v + 4)

Combine like terms: 7v + 6v = 13v
-4 + 13v = -3(v + 4)

Reorder the terms:
-4 + 13v = -3(4 + v)
-4 + 13v = (4 * -3 + v * -3)
-4 + 13v = (-12 + -3v)

Solving
-4 + 13v = -12 + -3v

Solving for variable 'v'.

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

Add '3v' to each side of the equation.
-4 + 13v + 3v = -12 + -3v + 3v

Combine like terms: 13v + 3v = 16v
-4 + 16v = -12 + -3v + 3v

Combine like terms: -3v + 3v = 0
-4 + 16v = -12 + 0
-4 + 16v = -12

Add '4' to each side of the equation.
-4 + 4 + 16v = -12 + 4

Combine like terms: -4 + 4 = 0
0 + 16v = -12 + 4
16v = -12 + 4

Combine like terms: -12 + 4 = -8
16v = -8

Divide each side by '16'.
v = -0.5

Simplifying
v = -0.5

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