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Simplifying 3(3q + -1) = -1(9 + -1q) Reorder the terms: 3(-1 + 3q) = -1(9 + -1q) (-1 * 3 + 3q * 3) = -1(9 + -1q) (-3 + 9q) = -1(9 + -1q) -3 + 9q = (9 * -1 + -1q * -1) -3 + 9q = (-9 + 1q) Solving -3 + 9q = -9 + 1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. -3 + 9q + -1q = -9 + 1q + -1q Combine like terms: 9q + -1q = 8q -3 + 8q = -9 + 1q + -1q Combine like terms: 1q + -1q = 0 -3 + 8q = -9 + 0 -3 + 8q = -9 Add '3' to each side of the equation. -3 + 3 + 8q = -9 + 3 Combine like terms: -3 + 3 = 0 0 + 8q = -9 + 3 8q = -9 + 3 Combine like terms: -9 + 3 = -6 8q = -6 Divide each side by '8'. q = -0.75 Simplifying q = -0.75
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