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

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


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

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

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

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

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

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

Solving
-162 + 11q = 3

Solving for variable 'q'.

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

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

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

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

Divide each side by '11'.
q = 15

Simplifying
q = 15

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