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Simplifying -2(q + -5) = -3(q + 1) Reorder the terms: -2(-5 + q) = -3(q + 1) (-5 * -2 + q * -2) = -3(q + 1) (10 + -2q) = -3(q + 1) Reorder the terms: 10 + -2q = -3(1 + q) 10 + -2q = (1 * -3 + q * -3) 10 + -2q = (-3 + -3q) Solving 10 + -2q = -3 + -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. 10 + -2q + 3q = -3 + -3q + 3q Combine like terms: -2q + 3q = 1q 10 + 1q = -3 + -3q + 3q Combine like terms: -3q + 3q = 0 10 + 1q = -3 + 0 10 + 1q = -3 Add '-10' to each side of the equation. 10 + -10 + 1q = -3 + -10 Combine like terms: 10 + -10 = 0 0 + 1q = -3 + -10 1q = -3 + -10 Combine like terms: -3 + -10 = -13 1q = -13 Divide each side by '1'. q = -13 Simplifying q = -13
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