4(v+2)=-2(5v-3)+6v

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Solution for 4(v+2)=-2(5v-3)+6v equation:


Simplifying
4(v + 2) = -2(5v + -3) + 6v

Reorder the terms:
4(2 + v) = -2(5v + -3) + 6v
(2 * 4 + v * 4) = -2(5v + -3) + 6v
(8 + 4v) = -2(5v + -3) + 6v

Reorder the terms:
8 + 4v = -2(-3 + 5v) + 6v
8 + 4v = (-3 * -2 + 5v * -2) + 6v
8 + 4v = (6 + -10v) + 6v

Combine like terms: -10v + 6v = -4v
8 + 4v = 6 + -4v

Solving
8 + 4v = 6 + -4v

Solving for variable 'v'.

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

Add '4v' to each side of the equation.
8 + 4v + 4v = 6 + -4v + 4v

Combine like terms: 4v + 4v = 8v
8 + 8v = 6 + -4v + 4v

Combine like terms: -4v + 4v = 0
8 + 8v = 6 + 0
8 + 8v = 6

Add '-8' to each side of the equation.
8 + -8 + 8v = 6 + -8

Combine like terms: 8 + -8 = 0
0 + 8v = 6 + -8
8v = 6 + -8

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

Divide each side by '8'.
v = -0.25

Simplifying
v = -0.25

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