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

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


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

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

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

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

Reorder the terms:
-10 + 2v = -4(6 + -4v) + -6v
-10 + 2v = (6 * -4 + -4v * -4) + -6v
-10 + 2v = (-24 + 16v) + -6v

Combine like terms: 16v + -6v = 10v
-10 + 2v = -24 + 10v

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

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

Combine like terms: 10v + -10v = 0
-10 + -8v = -24 + 0
-10 + -8v = -24

Add '10' to each side of the equation.
-10 + 10 + -8v = -24 + 10

Combine like terms: -10 + 10 = 0
0 + -8v = -24 + 10
-8v = -24 + 10

Combine like terms: -24 + 10 = -14
-8v = -14

Divide each side by '-8'.
v = 1.75

Simplifying
v = 1.75

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