5(v-3)-7=-4(-5v+12)-9v

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Solution for 5(v-3)-7=-4(-5v+12)-9v equation:


Simplifying
5(v + -3) + -7 = -4(-5v + 12) + -9v

Reorder the terms:
5(-3 + v) + -7 = -4(-5v + 12) + -9v
(-3 * 5 + v * 5) + -7 = -4(-5v + 12) + -9v
(-15 + 5v) + -7 = -4(-5v + 12) + -9v

Reorder the terms:
-15 + -7 + 5v = -4(-5v + 12) + -9v

Combine like terms: -15 + -7 = -22
-22 + 5v = -4(-5v + 12) + -9v

Reorder the terms:
-22 + 5v = -4(12 + -5v) + -9v
-22 + 5v = (12 * -4 + -5v * -4) + -9v
-22 + 5v = (-48 + 20v) + -9v

Combine like terms: 20v + -9v = 11v
-22 + 5v = -48 + 11v

Solving
-22 + 5v = -48 + 11v

Solving for variable 'v'.

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

Add '-11v' to each side of the equation.
-22 + 5v + -11v = -48 + 11v + -11v

Combine like terms: 5v + -11v = -6v
-22 + -6v = -48 + 11v + -11v

Combine like terms: 11v + -11v = 0
-22 + -6v = -48 + 0
-22 + -6v = -48

Add '22' to each side of the equation.
-22 + 22 + -6v = -48 + 22

Combine like terms: -22 + 22 = 0
0 + -6v = -48 + 22
-6v = -48 + 22

Combine like terms: -48 + 22 = -26
-6v = -26

Divide each side by '-6'.
v = 4.333333333

Simplifying
v = 4.333333333

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