4(v+3)=-2(6v-8)+6v

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Solution for 4(v+3)=-2(6v-8)+6v equation:


Simplifying
4(v + 3) = -2(6v + -8) + 6v

Reorder the terms:
4(3 + v) = -2(6v + -8) + 6v
(3 * 4 + v * 4) = -2(6v + -8) + 6v
(12 + 4v) = -2(6v + -8) + 6v

Reorder the terms:
12 + 4v = -2(-8 + 6v) + 6v
12 + 4v = (-8 * -2 + 6v * -2) + 6v
12 + 4v = (16 + -12v) + 6v

Combine like terms: -12v + 6v = -6v
12 + 4v = 16 + -6v

Solving
12 + 4v = 16 + -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.
12 + 4v + 6v = 16 + -6v + 6v

Combine like terms: 4v + 6v = 10v
12 + 10v = 16 + -6v + 6v

Combine like terms: -6v + 6v = 0
12 + 10v = 16 + 0
12 + 10v = 16

Add '-12' to each side of the equation.
12 + -12 + 10v = 16 + -12

Combine like terms: 12 + -12 = 0
0 + 10v = 16 + -12
10v = 16 + -12

Combine like terms: 16 + -12 = 4
10v = 4

Divide each side by '10'.
v = 0.4

Simplifying
v = 0.4

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