11=4(v+8)-7v

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Solution for 11=4(v+8)-7v equation:


Simplifying
11 = 4(v + 8) + -7v

Reorder the terms:
11 = 4(8 + v) + -7v
11 = (8 * 4 + v * 4) + -7v
11 = (32 + 4v) + -7v

Combine like terms: 4v + -7v = -3v
11 = 32 + -3v

Solving
11 = 32 + -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.
11 + 3v = 32 + -3v + 3v

Combine like terms: -3v + 3v = 0
11 + 3v = 32 + 0
11 + 3v = 32

Add '-11' to each side of the equation.
11 + -11 + 3v = 32 + -11

Combine like terms: 11 + -11 = 0
0 + 3v = 32 + -11
3v = 32 + -11

Combine like terms: 32 + -11 = 21
3v = 21

Divide each side by '3'.
v = 7

Simplifying
v = 7

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