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Simplifying 2(q + -8) = 5(q + 1) Reorder the terms: 2(-8 + q) = 5(q + 1) (-8 * 2 + q * 2) = 5(q + 1) (-16 + 2q) = 5(q + 1) Reorder the terms: -16 + 2q = 5(1 + q) -16 + 2q = (1 * 5 + q * 5) -16 + 2q = (5 + 5q) Solving -16 + 2q = 5 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. -16 + 2q + -5q = 5 + 5q + -5q Combine like terms: 2q + -5q = -3q -16 + -3q = 5 + 5q + -5q Combine like terms: 5q + -5q = 0 -16 + -3q = 5 + 0 -16 + -3q = 5 Add '16' to each side of the equation. -16 + 16 + -3q = 5 + 16 Combine like terms: -16 + 16 = 0 0 + -3q = 5 + 16 -3q = 5 + 16 Combine like terms: 5 + 16 = 21 -3q = 21 Divide each side by '-3'. q = -7 Simplifying q = -7
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