5(v-6)+6(v-22)=3

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Solution for 5(v-6)+6(v-22)=3 equation:


Simplifying
5(v + -6) + 6(v + -22) = 3

Reorder the terms:
5(-6 + v) + 6(v + -22) = 3
(-6 * 5 + v * 5) + 6(v + -22) = 3
(-30 + 5v) + 6(v + -22) = 3

Reorder the terms:
-30 + 5v + 6(-22 + v) = 3
-30 + 5v + (-22 * 6 + v * 6) = 3
-30 + 5v + (-132 + 6v) = 3

Reorder the terms:
-30 + -132 + 5v + 6v = 3

Combine like terms: -30 + -132 = -162
-162 + 5v + 6v = 3

Combine like terms: 5v + 6v = 11v
-162 + 11v = 3

Solving
-162 + 11v = 3

Solving for variable 'v'.

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

Add '162' to each side of the equation.
-162 + 162 + 11v = 3 + 162

Combine like terms: -162 + 162 = 0
0 + 11v = 3 + 162
11v = 3 + 162

Combine like terms: 3 + 162 = 165
11v = 165

Divide each side by '11'.
v = 15

Simplifying
v = 15

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