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Simplifying -1(8q + -5) = 3q + 16 Reorder the terms: -1(-5 + 8q) = 3q + 16 (-5 * -1 + 8q * -1) = 3q + 16 (5 + -8q) = 3q + 16 Reorder the terms: 5 + -8q = 16 + 3q Solving 5 + -8q = 16 + 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 = 16 + 3q + -3q Combine like terms: -8q + -3q = -11q 5 + -11q = 16 + 3q + -3q Combine like terms: 3q + -3q = 0 5 + -11q = 16 + 0 5 + -11q = 16 Add '-5' to each side of the equation. 5 + -5 + -11q = 16 + -5 Combine like terms: 5 + -5 = 0 0 + -11q = 16 + -5 -11q = 16 + -5 Combine like terms: 16 + -5 = 11 -11q = 11 Divide each side by '-11'. q = -1 Simplifying q = -1
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