-2(3+11v)-11(5+5v)=v-1-9v+9

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Solution for -2(3+11v)-11(5+5v)=v-1-9v+9 equation:


Simplifying
-2(3 + 11v) + -11(5 + 5v) = v + -1 + -9v + 9
(3 * -2 + 11v * -2) + -11(5 + 5v) = v + -1 + -9v + 9
(-6 + -22v) + -11(5 + 5v) = v + -1 + -9v + 9
-6 + -22v + (5 * -11 + 5v * -11) = v + -1 + -9v + 9
-6 + -22v + (-55 + -55v) = v + -1 + -9v + 9

Reorder the terms:
-6 + -55 + -22v + -55v = v + -1 + -9v + 9

Combine like terms: -6 + -55 = -61
-61 + -22v + -55v = v + -1 + -9v + 9

Combine like terms: -22v + -55v = -77v
-61 + -77v = v + -1 + -9v + 9

Reorder the terms:
-61 + -77v = -1 + 9 + v + -9v

Combine like terms: -1 + 9 = 8
-61 + -77v = 8 + v + -9v

Combine like terms: v + -9v = -8v
-61 + -77v = 8 + -8v

Solving
-61 + -77v = 8 + -8v

Solving for variable 'v'.

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

Add '8v' to each side of the equation.
-61 + -77v + 8v = 8 + -8v + 8v

Combine like terms: -77v + 8v = -69v
-61 + -69v = 8 + -8v + 8v

Combine like terms: -8v + 8v = 0
-61 + -69v = 8 + 0
-61 + -69v = 8

Add '61' to each side of the equation.
-61 + 61 + -69v = 8 + 61

Combine like terms: -61 + 61 = 0
0 + -69v = 8 + 61
-69v = 8 + 61

Combine like terms: 8 + 61 = 69
-69v = 69

Divide each side by '-69'.
v = -1

Simplifying
v = -1

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