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Simplifying q + -1(9q + -5) = -1(3q + 7) Reorder the terms: q + -1(-5 + 9q) = -1(3q + 7) q + (-5 * -1 + 9q * -1) = -1(3q + 7) q + (5 + -9q) = -1(3q + 7) Reorder the terms: 5 + q + -9q = -1(3q + 7) Combine like terms: q + -9q = -8q 5 + -8q = -1(3q + 7) Reorder the terms: 5 + -8q = -1(7 + 3q) 5 + -8q = (7 * -1 + 3q * -1) 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 = -5q 5 + -5q = -7 + -3q + 3q Combine like terms: -3q + 3q = 0 5 + -5q = -7 + 0 5 + -5q = -7 Add '-5' to each side of the equation. 5 + -5 + -5q = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -5q = -7 + -5 -5q = -7 + -5 Combine like terms: -7 + -5 = -12 -5q = -12 Divide each side by '-5'. q = 2.4 Simplifying q = 2.4
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