15(v-2)-5(v+2)=20v

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Solution for 15(v-2)-5(v+2)=20v equation:


Simplifying
15(v + -2) + -5(v + 2) = 20v

Reorder the terms:
15(-2 + v) + -5(v + 2) = 20v
(-2 * 15 + v * 15) + -5(v + 2) = 20v
(-30 + 15v) + -5(v + 2) = 20v

Reorder the terms:
-30 + 15v + -5(2 + v) = 20v
-30 + 15v + (2 * -5 + v * -5) = 20v
-30 + 15v + (-10 + -5v) = 20v

Reorder the terms:
-30 + -10 + 15v + -5v = 20v

Combine like terms: -30 + -10 = -40
-40 + 15v + -5v = 20v

Combine like terms: 15v + -5v = 10v
-40 + 10v = 20v

Solving
-40 + 10v = 20v

Solving for variable 'v'.

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

Add '-20v' to each side of the equation.
-40 + 10v + -20v = 20v + -20v

Combine like terms: 10v + -20v = -10v
-40 + -10v = 20v + -20v

Combine like terms: 20v + -20v = 0
-40 + -10v = 0

Add '40' to each side of the equation.
-40 + 40 + -10v = 0 + 40

Combine like terms: -40 + 40 = 0
0 + -10v = 0 + 40
-10v = 0 + 40

Combine like terms: 0 + 40 = 40
-10v = 40

Divide each side by '-10'.
v = -4

Simplifying
v = -4

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