2(v-1)-8=-4(-3v+5)-6v

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Solution for 2(v-1)-8=-4(-3v+5)-6v equation:


Simplifying
2(v + -1) + -8 = -4(-3v + 5) + -6v

Reorder the terms:
2(-1 + v) + -8 = -4(-3v + 5) + -6v
(-1 * 2 + v * 2) + -8 = -4(-3v + 5) + -6v
(-2 + 2v) + -8 = -4(-3v + 5) + -6v

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

Combine like terms: -2 + -8 = -10
-10 + 2v = -4(-3v + 5) + -6v

Reorder the terms:
-10 + 2v = -4(5 + -3v) + -6v
-10 + 2v = (5 * -4 + -3v * -4) + -6v
-10 + 2v = (-20 + 12v) + -6v

Combine like terms: 12v + -6v = 6v
-10 + 2v = -20 + 6v

Solving
-10 + 2v = -20 + 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.
-10 + 2v + -6v = -20 + 6v + -6v

Combine like terms: 2v + -6v = -4v
-10 + -4v = -20 + 6v + -6v

Combine like terms: 6v + -6v = 0
-10 + -4v = -20 + 0
-10 + -4v = -20

Add '10' to each side of the equation.
-10 + 10 + -4v = -20 + 10

Combine like terms: -10 + 10 = 0
0 + -4v = -20 + 10
-4v = -20 + 10

Combine like terms: -20 + 10 = -10
-4v = -10

Divide each side by '-4'.
v = 2.5

Simplifying
v = 2.5

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