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

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


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

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

Reorder the terms:
-6 + -4 + 6v = -4(-2v + 6) + -6v

Combine like terms: -6 + -4 = -10
-10 + 6v = -4(-2v + 6) + -6v

Reorder the terms:
-10 + 6v = -4(6 + -2v) + -6v
-10 + 6v = (6 * -4 + -2v * -4) + -6v
-10 + 6v = (-24 + 8v) + -6v

Combine like terms: 8v + -6v = 2v
-10 + 6v = -24 + 2v

Solving
-10 + 6v = -24 + 2v

Solving for variable 'v'.

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

Add '-2v' to each side of the equation.
-10 + 6v + -2v = -24 + 2v + -2v

Combine like terms: 6v + -2v = 4v
-10 + 4v = -24 + 2v + -2v

Combine like terms: 2v + -2v = 0
-10 + 4v = -24 + 0
-10 + 4v = -24

Add '10' to each side of the equation.
-10 + 10 + 4v = -24 + 10

Combine like terms: -10 + 10 = 0
0 + 4v = -24 + 10
4v = -24 + 10

Combine like terms: -24 + 10 = -14
4v = -14

Divide each side by '4'.
v = -3.5

Simplifying
v = -3.5

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