-4(v+3)+7(1-v)=61

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Solution for -4(v+3)+7(1-v)=61 equation: 


Simplifying
-4(v + 3) + 7(1 + -1v) = 61

Reorder the terms:
-4(3 + v) + 7(1 + -1v) = 61
(3 * -4 + v * -4) + 7(1 + -1v) = 61
(-12 + -4v) + 7(1 + -1v) = 61
-12 + -4v + (1 * 7 + -1v * 7) = 61
-12 + -4v + (7 + -7v) = 61

Reorder the terms:
-12 + 7 + -4v + -7v = 61

Combine like terms: -12 + 7 = -5
-5 + -4v + -7v = 61

Combine like terms: -4v + -7v = -11v
-5 + -11v = 61

Solving
-5 + -11v = 61

Solving for variable 'v'.

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

Add '5' to each side of the equation.
-5 + 5 + -11v = 61 + 5

Combine like terms: -5 + 5 = 0
0 + -11v = 61 + 5
-11v = 61 + 5

Combine like terms: 61 + 5 = 66
-11v = 66

Divide each side by '-11'.
v = -6

Simplifying
v = -6

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