9(-9q-9)=7(-10q+17)-13

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Solution for 9(-9q-9)=7(-10q+17)-13 equation:


Simplifying
9(-9q + -9) = 7(-10q + 17) + -13

Reorder the terms:
9(-9 + -9q) = 7(-10q + 17) + -13
(-9 * 9 + -9q * 9) = 7(-10q + 17) + -13
(-81 + -81q) = 7(-10q + 17) + -13

Reorder the terms:
-81 + -81q = 7(17 + -10q) + -13
-81 + -81q = (17 * 7 + -10q * 7) + -13
-81 + -81q = (119 + -70q) + -13

Reorder the terms:
-81 + -81q = 119 + -13 + -70q

Combine like terms: 119 + -13 = 106
-81 + -81q = 106 + -70q

Solving
-81 + -81q = 106 + -70q

Solving for variable 'q'.

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

Add '70q' to each side of the equation.
-81 + -81q + 70q = 106 + -70q + 70q

Combine like terms: -81q + 70q = -11q
-81 + -11q = 106 + -70q + 70q

Combine like terms: -70q + 70q = 0
-81 + -11q = 106 + 0
-81 + -11q = 106

Add '81' to each side of the equation.
-81 + 81 + -11q = 106 + 81

Combine like terms: -81 + 81 = 0
0 + -11q = 106 + 81
-11q = 106 + 81

Combine like terms: 106 + 81 = 187
-11q = 187

Divide each side by '-11'.
q = -17

Simplifying
q = -17

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