2(v-7)-4=-3(-4v+3)-4v

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Solution for 2(v-7)-4=-3(-4v+3)-4v equation:


Simplifying
2(v + -7) + -4 = -3(-4v + 3) + -4v

Reorder the terms:
2(-7 + v) + -4 = -3(-4v + 3) + -4v
(-7 * 2 + v * 2) + -4 = -3(-4v + 3) + -4v
(-14 + 2v) + -4 = -3(-4v + 3) + -4v

Reorder the terms:
-14 + -4 + 2v = -3(-4v + 3) + -4v

Combine like terms: -14 + -4 = -18
-18 + 2v = -3(-4v + 3) + -4v

Reorder the terms:
-18 + 2v = -3(3 + -4v) + -4v
-18 + 2v = (3 * -3 + -4v * -3) + -4v
-18 + 2v = (-9 + 12v) + -4v

Combine like terms: 12v + -4v = 8v
-18 + 2v = -9 + 8v

Solving
-18 + 2v = -9 + 8v

Solving for variable 'v'.

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

Add '-8v' to each side of the equation.
-18 + 2v + -8v = -9 + 8v + -8v

Combine like terms: 2v + -8v = -6v
-18 + -6v = -9 + 8v + -8v

Combine like terms: 8v + -8v = 0
-18 + -6v = -9 + 0
-18 + -6v = -9

Add '18' to each side of the equation.
-18 + 18 + -6v = -9 + 18

Combine like terms: -18 + 18 = 0
0 + -6v = -9 + 18
-6v = -9 + 18

Combine like terms: -9 + 18 = 9
-6v = 9

Divide each side by '-6'.
v = -1.5

Simplifying
v = -1.5

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