9v-46=7(v-4)

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Solution for 9v-46=7(v-4) equation:


Simplifying
9v + -46 = 7(v + -4)

Reorder the terms:
-46 + 9v = 7(v + -4)

Reorder the terms:
-46 + 9v = 7(-4 + v)
-46 + 9v = (-4 * 7 + v * 7)
-46 + 9v = (-28 + 7v)

Solving
-46 + 9v = -28 + 7v

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
-46 + 9v + -7v = -28 + 7v + -7v

Combine like terms: 9v + -7v = 2v
-46 + 2v = -28 + 7v + -7v

Combine like terms: 7v + -7v = 0
-46 + 2v = -28 + 0
-46 + 2v = -28

Add '46' to each side of the equation.
-46 + 46 + 2v = -28 + 46

Combine like terms: -46 + 46 = 0
0 + 2v = -28 + 46
2v = -28 + 46

Combine like terms: -28 + 46 = 18
2v = 18

Divide each side by '2'.
v = 9

Simplifying
v = 9

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