7(v-4)-2=-3(-6v+9)-5v

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Solution for 7(v-4)-2=-3(-6v+9)-5v equation:


Simplifying
7(v + -4) + -2 = -3(-6v + 9) + -5v

Reorder the terms:
7(-4 + v) + -2 = -3(-6v + 9) + -5v
(-4 * 7 + v * 7) + -2 = -3(-6v + 9) + -5v
(-28 + 7v) + -2 = -3(-6v + 9) + -5v

Reorder the terms:
-28 + -2 + 7v = -3(-6v + 9) + -5v

Combine like terms: -28 + -2 = -30
-30 + 7v = -3(-6v + 9) + -5v

Reorder the terms:
-30 + 7v = -3(9 + -6v) + -5v
-30 + 7v = (9 * -3 + -6v * -3) + -5v
-30 + 7v = (-27 + 18v) + -5v

Combine like terms: 18v + -5v = 13v
-30 + 7v = -27 + 13v

Solving
-30 + 7v = -27 + 13v

Solving for variable 'v'.

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

Add '-13v' to each side of the equation.
-30 + 7v + -13v = -27 + 13v + -13v

Combine like terms: 7v + -13v = -6v
-30 + -6v = -27 + 13v + -13v

Combine like terms: 13v + -13v = 0
-30 + -6v = -27 + 0
-30 + -6v = -27

Add '30' to each side of the equation.
-30 + 30 + -6v = -27 + 30

Combine like terms: -30 + 30 = 0
0 + -6v = -27 + 30
-6v = -27 + 30

Combine like terms: -27 + 30 = 3
-6v = 3

Divide each side by '-6'.
v = -0.5

Simplifying
v = -0.5

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