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Simplifying -3(2q + 1) + -11(q + -9) = 0 Reorder the terms: -3(1 + 2q) + -11(q + -9) = 0 (1 * -3 + 2q * -3) + -11(q + -9) = 0 (-3 + -6q) + -11(q + -9) = 0 Reorder the terms: -3 + -6q + -11(-9 + q) = 0 -3 + -6q + (-9 * -11 + q * -11) = 0 -3 + -6q + (99 + -11q) = 0 Reorder the terms: -3 + 99 + -6q + -11q = 0 Combine like terms: -3 + 99 = 96 96 + -6q + -11q = 0 Combine like terms: -6q + -11q = -17q 96 + -17q = 0 Solving 96 + -17q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + -17q = 0 + -96 Combine like terms: 96 + -96 = 0 0 + -17q = 0 + -96 -17q = 0 + -96 Combine like terms: 0 + -96 = -96 -17q = -96 Divide each side by '-17'. q = 5.647058824 Simplifying q = 5.647058824
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