4(v+8)=-3(4v-8)+6v

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Solution for 4(v+8)=-3(4v-8)+6v equation: 


Simplifying
4(v + 8) = -3(4v + -8) + 6v

Reorder the terms:
4(8 + v) = -3(4v + -8) + 6v
(8 * 4 + v * 4) = -3(4v + -8) + 6v
(32 + 4v) = -3(4v + -8) + 6v

Reorder the terms:
32 + 4v = -3(-8 + 4v) + 6v
32 + 4v = (-8 * -3 + 4v * -3) + 6v
32 + 4v = (24 + -12v) + 6v

Combine like terms: -12v + 6v = -6v
32 + 4v = 24 + -6v

Solving
32 + 4v = 24 + -6v

Solving for variable 'v'.

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

Add '6v' to each side of the equation.
32 + 4v + 6v = 24 + -6v + 6v

Combine like terms: 4v + 6v = 10v
32 + 10v = 24 + -6v + 6v

Combine like terms: -6v + 6v = 0
32 + 10v = 24 + 0
32 + 10v = 24

Add '-32' to each side of the equation.
32 + -32 + 10v = 24 + -32

Combine like terms: 32 + -32 = 0
0 + 10v = 24 + -32
10v = 24 + -32

Combine like terms: 24 + -32 = -8
10v = -8

Divide each side by '10'.
v = -0.8

Simplifying
v = -0.8

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