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

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


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

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

Combine like terms: 8 + -6 = 2
2 + 6v = -3(6v + -2) + 8v

Reorder the terms:
2 + 6v = -3(-2 + 6v) + 8v
2 + 6v = (-2 * -3 + 6v * -3) + 8v
2 + 6v = (6 + -18v) + 8v

Combine like terms: -18v + 8v = -10v
2 + 6v = 6 + -10v

Solving
2 + 6v = 6 + -10v

Solving for variable 'v'.

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

Add '10v' to each side of the equation.
2 + 6v + 10v = 6 + -10v + 10v

Combine like terms: 6v + 10v = 16v
2 + 16v = 6 + -10v + 10v

Combine like terms: -10v + 10v = 0
2 + 16v = 6 + 0
2 + 16v = 6

Add '-2' to each side of the equation.
2 + -2 + 16v = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 16v = 6 + -2
16v = 6 + -2

Combine like terms: 6 + -2 = 4
16v = 4

Divide each side by '16'.
v = 0.25

Simplifying
v = 0.25

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