-5(v+3)=7v-1+2(3v+1)

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Solution for -5(v+3)=7v-1+2(3v+1) equation:


Simplifying
-5(v + 3) = 7v + -1 + 2(3v + 1)

Reorder the terms:
-5(3 + v) = 7v + -1 + 2(3v + 1)
(3 * -5 + v * -5) = 7v + -1 + 2(3v + 1)
(-15 + -5v) = 7v + -1 + 2(3v + 1)

Reorder the terms:
-15 + -5v = 7v + -1 + 2(1 + 3v)
-15 + -5v = 7v + -1 + (1 * 2 + 3v * 2)
-15 + -5v = 7v + -1 + (2 + 6v)

Reorder the terms:
-15 + -5v = -1 + 2 + 7v + 6v

Combine like terms: -1 + 2 = 1
-15 + -5v = 1 + 7v + 6v

Combine like terms: 7v + 6v = 13v
-15 + -5v = 1 + 13v

Solving
-15 + -5v = 1 + 13v

Solving for variable 'v'.

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

Add '-13v' to each side of the equation.
-15 + -5v + -13v = 1 + 13v + -13v

Combine like terms: -5v + -13v = -18v
-15 + -18v = 1 + 13v + -13v

Combine like terms: 13v + -13v = 0
-15 + -18v = 1 + 0
-15 + -18v = 1

Add '15' to each side of the equation.
-15 + 15 + -18v = 1 + 15

Combine like terms: -15 + 15 = 0
0 + -18v = 1 + 15
-18v = 1 + 15

Combine like terms: 1 + 15 = 16
-18v = 16

Divide each side by '-18'.
v = -0.8888888889

Simplifying
v = -0.8888888889

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