-4(3v-3)=-6(v-7)

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Solution for -4(3v-3)=-6(v-7) equation:


Simplifying
-4(3v + -3) = -6(v + -7)

Reorder the terms:
-4(-3 + 3v) = -6(v + -7)
(-3 * -4 + 3v * -4) = -6(v + -7)
(12 + -12v) = -6(v + -7)

Reorder the terms:
12 + -12v = -6(-7 + v)
12 + -12v = (-7 * -6 + v * -6)
12 + -12v = (42 + -6v)

Solving
12 + -12v = 42 + -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.
12 + -12v + 6v = 42 + -6v + 6v

Combine like terms: -12v + 6v = -6v
12 + -6v = 42 + -6v + 6v

Combine like terms: -6v + 6v = 0
12 + -6v = 42 + 0
12 + -6v = 42

Add '-12' to each side of the equation.
12 + -12 + -6v = 42 + -12

Combine like terms: 12 + -12 = 0
0 + -6v = 42 + -12
-6v = 42 + -12

Combine like terms: 42 + -12 = 30
-6v = 30

Divide each side by '-6'.
v = -5

Simplifying
v = -5

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