7(v+8)-(1-4v)=22

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Solution for 7(v+8)-(1-4v)=22 equation: 


Simplifying
7(v + 8) + -1(1 + -4v) = 22

Reorder the terms:
7(8 + v) + -1(1 + -4v) = 22
(8 * 7 + v * 7) + -1(1 + -4v) = 22
(56 + 7v) + -1(1 + -4v) = 22
56 + 7v + (1 * -1 + -4v * -1) = 22
56 + 7v + (-1 + 4v) = 22

Reorder the terms:
56 + -1 + 7v + 4v = 22

Combine like terms: 56 + -1 = 55
55 + 7v + 4v = 22

Combine like terms: 7v + 4v = 11v
55 + 11v = 22

Solving
55 + 11v = 22

Solving for variable 'v'.

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

Add '-55' to each side of the equation.
55 + -55 + 11v = 22 + -55

Combine like terms: 55 + -55 = 0
0 + 11v = 22 + -55
11v = 22 + -55

Combine like terms: 22 + -55 = -33
11v = -33

Divide each side by '11'.
v = -3

Simplifying
v = -3

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