-5(1-v)+2(1+7v)=16

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Solution for -5(1-v)+2(1+7v)=16 equation:


Simplifying
-5(1 + -1v) + 2(1 + 7v) = 16
(1 * -5 + -1v * -5) + 2(1 + 7v) = 16
(-5 + 5v) + 2(1 + 7v) = 16
-5 + 5v + (1 * 2 + 7v * 2) = 16
-5 + 5v + (2 + 14v) = 16

Reorder the terms:
-5 + 2 + 5v + 14v = 16

Combine like terms: -5 + 2 = -3
-3 + 5v + 14v = 16

Combine like terms: 5v + 14v = 19v
-3 + 19v = 16

Solving
-3 + 19v = 16

Solving for variable 'v'.

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

Add '3' to each side of the equation.
-3 + 3 + 19v = 16 + 3

Combine like terms: -3 + 3 = 0
0 + 19v = 16 + 3
19v = 16 + 3

Combine like terms: 16 + 3 = 19
19v = 19

Divide each side by '19'.
v = 1

Simplifying
v = 1

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