6(v+3)=-4(2v-1)+4v

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Solution for 6(v+3)=-4(2v-1)+4v equation: 


Simplifying
6(v + 3) = -4(2v + -1) + 4v

Reorder the terms:
6(3 + v) = -4(2v + -1) + 4v
(3 * 6 + v * 6) = -4(2v + -1) + 4v
(18 + 6v) = -4(2v + -1) + 4v

Reorder the terms:
18 + 6v = -4(-1 + 2v) + 4v
18 + 6v = (-1 * -4 + 2v * -4) + 4v
18 + 6v = (4 + -8v) + 4v

Combine like terms: -8v + 4v = -4v
18 + 6v = 4 + -4v

Solving
18 + 6v = 4 + -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.
18 + 6v + 4v = 4 + -4v + 4v

Combine like terms: 6v + 4v = 10v
18 + 10v = 4 + -4v + 4v

Combine like terms: -4v + 4v = 0
18 + 10v = 4 + 0
18 + 10v = 4

Add '-18' to each side of the equation.
18 + -18 + 10v = 4 + -18

Combine like terms: 18 + -18 = 0
0 + 10v = 4 + -18
10v = 4 + -18

Combine like terms: 4 + -18 = -14
10v = -14

Divide each side by '10'.
v = -1.4

Simplifying
v = -1.4

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