5v-13=8(v-2)

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Solution for 5v-13=8(v-2) equation:


Simplifying
5v + -13 = 8(v + -2)

Reorder the terms:
-13 + 5v = 8(v + -2)

Reorder the terms:
-13 + 5v = 8(-2 + v)
-13 + 5v = (-2 * 8 + v * 8)
-13 + 5v = (-16 + 8v)

Solving
-13 + 5v = -16 + 8v

Solving for variable 'v'.

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

Add '-8v' to each side of the equation.
-13 + 5v + -8v = -16 + 8v + -8v

Combine like terms: 5v + -8v = -3v
-13 + -3v = -16 + 8v + -8v

Combine like terms: 8v + -8v = 0
-13 + -3v = -16 + 0
-13 + -3v = -16

Add '13' to each side of the equation.
-13 + 13 + -3v = -16 + 13

Combine like terms: -13 + 13 = 0
0 + -3v = -16 + 13
-3v = -16 + 13

Combine like terms: -16 + 13 = -3
-3v = -3

Divide each side by '-3'.
v = 1

Simplifying
v = 1

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