2-(7v-8)+3v=3(v+4)

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Solution for 2-(7v-8)+3v=3(v+4) equation: 


Simplifying
2 + -1(7v + -8) + 3v = 3(v + 4)

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

Combine like terms: 2 + 8 = 10
10 + -7v + 3v = 3(v + 4)

Combine like terms: -7v + 3v = -4v
10 + -4v = 3(v + 4)

Reorder the terms:
10 + -4v = 3(4 + v)
10 + -4v = (4 * 3 + v * 3)
10 + -4v = (12 + 3v)

Solving
10 + -4v = 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.
10 + -4v + -3v = 12 + 3v + -3v

Combine like terms: -4v + -3v = -7v
10 + -7v = 12 + 3v + -3v

Combine like terms: 3v + -3v = 0
10 + -7v = 12 + 0
10 + -7v = 12

Add '-10' to each side of the equation.
10 + -10 + -7v = 12 + -10

Combine like terms: 10 + -10 = 0
0 + -7v = 12 + -10
-7v = 12 + -10

Combine like terms: 12 + -10 = 2
-7v = 2

Divide each side by '-7'.
v = -0.2857142857

Simplifying
v = -0.2857142857

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