7v-31=4(v-1)

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Solution for 7v-31=4(v-1) equation:


Simplifying
7v + -31 = 4(v + -1)

Reorder the terms:
-31 + 7v = 4(v + -1)

Reorder the terms:
-31 + 7v = 4(-1 + v)
-31 + 7v = (-1 * 4 + v * 4)
-31 + 7v = (-4 + 4v)

Solving
-31 + 7v = -4 + 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.
-31 + 7v + -4v = -4 + 4v + -4v

Combine like terms: 7v + -4v = 3v
-31 + 3v = -4 + 4v + -4v

Combine like terms: 4v + -4v = 0
-31 + 3v = -4 + 0
-31 + 3v = -4

Add '31' to each side of the equation.
-31 + 31 + 3v = -4 + 31

Combine like terms: -31 + 31 = 0
0 + 3v = -4 + 31
3v = -4 + 31

Combine like terms: -4 + 31 = 27
3v = 27

Divide each side by '3'.
v = 9

Simplifying
v = 9

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