6v-42=-4(v-2)

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Solution for 6v-42=-4(v-2) equation:


Simplifying
6v + -42 = -4(v + -2)

Reorder the terms:
-42 + 6v = -4(v + -2)

Reorder the terms:
-42 + 6v = -4(-2 + v)
-42 + 6v = (-2 * -4 + v * -4)
-42 + 6v = (8 + -4v)

Solving
-42 + 6v = 8 + -4v

Solving for variable 'v'.

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

Add '4v' to each side of the equation.
-42 + 6v + 4v = 8 + -4v + 4v

Combine like terms: 6v + 4v = 10v
-42 + 10v = 8 + -4v + 4v

Combine like terms: -4v + 4v = 0
-42 + 10v = 8 + 0
-42 + 10v = 8

Add '42' to each side of the equation.
-42 + 42 + 10v = 8 + 42

Combine like terms: -42 + 42 = 0
0 + 10v = 8 + 42
10v = 8 + 42

Combine like terms: 8 + 42 = 50
10v = 50

Divide each side by '10'.
v = 5

Simplifying
v = 5

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