5v-13=-3(v-1)

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Solution for 5v-13=-3(v-1) equation:


Simplifying
5v + -13 = -3(v + -1)

Reorder the terms:
-13 + 5v = -3(v + -1)

Reorder the terms:
-13 + 5v = -3(-1 + v)
-13 + 5v = (-1 * -3 + v * -3)
-13 + 5v = (3 + -3v)

Solving
-13 + 5v = 3 + -3v

Solving for variable 'v'.

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

Add '3v' to each side of the equation.
-13 + 5v + 3v = 3 + -3v + 3v

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

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

Add '13' to each side of the equation.
-13 + 13 + 8v = 3 + 13

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

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

Divide each side by '8'.
v = 2

Simplifying
v = 2

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