-9(3v-3)=-12-(5v-7)

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Solution for -9(3v-3)=-12-(5v-7) equation:


Simplifying
-9(3v + -3) = -12 + -1(5v + -7)

Reorder the terms:
-9(-3 + 3v) = -12 + -1(5v + -7)
(-3 * -9 + 3v * -9) = -12 + -1(5v + -7)
(27 + -27v) = -12 + -1(5v + -7)

Reorder the terms:
27 + -27v = -12 + -1(-7 + 5v)
27 + -27v = -12 + (-7 * -1 + 5v * -1)
27 + -27v = -12 + (7 + -5v)

Combine like terms: -12 + 7 = -5
27 + -27v = -5 + -5v

Solving
27 + -27v = -5 + -5v

Solving for variable 'v'.

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

Add '5v' to each side of the equation.
27 + -27v + 5v = -5 + -5v + 5v

Combine like terms: -27v + 5v = -22v
27 + -22v = -5 + -5v + 5v

Combine like terms: -5v + 5v = 0
27 + -22v = -5 + 0
27 + -22v = -5

Add '-27' to each side of the equation.
27 + -27 + -22v = -5 + -27

Combine like terms: 27 + -27 = 0
0 + -22v = -5 + -27
-22v = -5 + -27

Combine like terms: -5 + -27 = -32
-22v = -32

Divide each side by '-22'.
v = 1.454545455

Simplifying
v = 1.454545455

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