13+5(7v+15)=20v-14-18

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Solution for 13+5(7v+15)=20v-14-18 equation:


Simplifying
13 + 5(7v + 15) = 20v + -14 + -18

Reorder the terms:
13 + 5(15 + 7v) = 20v + -14 + -18
13 + (15 * 5 + 7v * 5) = 20v + -14 + -18
13 + (75 + 35v) = 20v + -14 + -18

Combine like terms: 13 + 75 = 88
88 + 35v = 20v + -14 + -18

Reorder the terms:
88 + 35v = -14 + -18 + 20v

Combine like terms: -14 + -18 = -32
88 + 35v = -32 + 20v

Solving
88 + 35v = -32 + 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.
88 + 35v + -20v = -32 + 20v + -20v

Combine like terms: 35v + -20v = 15v
88 + 15v = -32 + 20v + -20v

Combine like terms: 20v + -20v = 0
88 + 15v = -32 + 0
88 + 15v = -32

Add '-88' to each side of the equation.
88 + -88 + 15v = -32 + -88

Combine like terms: 88 + -88 = 0
0 + 15v = -32 + -88
15v = -32 + -88

Combine like terms: -32 + -88 = -120
15v = -120

Divide each side by '15'.
v = -8

Simplifying
v = -8

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