8v-2=7v+5(v-2)

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Solution for 8v-2=7v+5(v-2) equation:


Simplifying
8v + -2 = 7v + 5(v + -2)

Reorder the terms:
-2 + 8v = 7v + 5(v + -2)

Reorder the terms:
-2 + 8v = 7v + 5(-2 + v)
-2 + 8v = 7v + (-2 * 5 + v * 5)
-2 + 8v = 7v + (-10 + 5v)

Reorder the terms:
-2 + 8v = -10 + 7v + 5v

Combine like terms: 7v + 5v = 12v
-2 + 8v = -10 + 12v

Solving
-2 + 8v = -10 + 12v

Solving for variable 'v'.

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

Add '-12v' to each side of the equation.
-2 + 8v + -12v = -10 + 12v + -12v

Combine like terms: 8v + -12v = -4v
-2 + -4v = -10 + 12v + -12v

Combine like terms: 12v + -12v = 0
-2 + -4v = -10 + 0
-2 + -4v = -10

Add '2' to each side of the equation.
-2 + 2 + -4v = -10 + 2

Combine like terms: -2 + 2 = 0
0 + -4v = -10 + 2
-4v = -10 + 2

Combine like terms: -10 + 2 = -8
-4v = -8

Divide each side by '-4'.
v = 2

Simplifying
v = 2

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