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Simplifying -1(q + 3) = -5(2 + -1q) + -9q Reorder the terms: -1(3 + q) = -5(2 + -1q) + -9q (3 * -1 + q * -1) = -5(2 + -1q) + -9q (-3 + -1q) = -5(2 + -1q) + -9q -3 + -1q = (2 * -5 + -1q * -5) + -9q -3 + -1q = (-10 + 5q) + -9q Combine like terms: 5q + -9q = -4q -3 + -1q = -10 + -4q Solving -3 + -1q = -10 + -4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4q' to each side of the equation. -3 + -1q + 4q = -10 + -4q + 4q Combine like terms: -1q + 4q = 3q -3 + 3q = -10 + -4q + 4q Combine like terms: -4q + 4q = 0 -3 + 3q = -10 + 0 -3 + 3q = -10 Add '3' to each side of the equation. -3 + 3 + 3q = -10 + 3 Combine like terms: -3 + 3 = 0 0 + 3q = -10 + 3 3q = -10 + 3 Combine like terms: -10 + 3 = -7 3q = -7 Divide each side by '3'. q = -2.333333333 Simplifying q = -2.333333333
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