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Simplifying q + -1(9q + -5) = (3q + 7) Reorder the terms: q + -1(-5 + 9q) = (3q + 7) q + (-5 * -1 + 9q * -1) = (3q + 7) q + (5 + -9q) = (3q + 7) Reorder the terms: 5 + q + -9q = (3q + 7) Combine like terms: q + -9q = -8q 5 + -8q = (3q + 7) Reorder the terms: 5 + -8q = (7 + 3q) Remove parenthesis around (7 + 3q) 5 + -8q = 7 + 3q Solving 5 + -8q = 7 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 5 + -8q + -3q = 7 + 3q + -3q Combine like terms: -8q + -3q = -11q 5 + -11q = 7 + 3q + -3q Combine like terms: 3q + -3q = 0 5 + -11q = 7 + 0 5 + -11q = 7 Add '-5' to each side of the equation. 5 + -5 + -11q = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -11q = 7 + -5 -11q = 7 + -5 Combine like terms: 7 + -5 = 2 -11q = 2 Divide each side by '-11'. q = -0.1818181818 Simplifying q = -0.1818181818
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