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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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