8v+32=6v+7(v+1)

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Solution for 8v+32=6v+7(v+1) equation:


Simplifying
8v + 32 = 6v + 7(v + 1)

Reorder the terms:
32 + 8v = 6v + 7(v + 1)

Reorder the terms:
32 + 8v = 6v + 7(1 + v)
32 + 8v = 6v + (1 * 7 + v * 7)
32 + 8v = 6v + (7 + 7v)

Reorder the terms:
32 + 8v = 7 + 6v + 7v

Combine like terms: 6v + 7v = 13v
32 + 8v = 7 + 13v

Solving
32 + 8v = 7 + 13v

Solving for variable 'v'.

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

Add '-13v' to each side of the equation.
32 + 8v + -13v = 7 + 13v + -13v

Combine like terms: 8v + -13v = -5v
32 + -5v = 7 + 13v + -13v

Combine like terms: 13v + -13v = 0
32 + -5v = 7 + 0
32 + -5v = 7

Add '-32' to each side of the equation.
32 + -32 + -5v = 7 + -32

Combine like terms: 32 + -32 = 0
0 + -5v = 7 + -32
-5v = 7 + -32

Combine like terms: 7 + -32 = -25
-5v = -25

Divide each side by '-5'.
v = 5

Simplifying
v = 5

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