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Simplifying (1 + -5q) = 2(2.5q + 8) Remove parenthesis around (1 + -5q) 1 + -5q = 2(2.5q + 8) Reorder the terms: 1 + -5q = 2(8 + 2.5q) 1 + -5q = (8 * 2 + 2.5q * 2) 1 + -5q = (16 + 5q) Solving 1 + -5q = 16 + 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. 1 + -5q + -5q = 16 + 5q + -5q Combine like terms: -5q + -5q = -10q 1 + -10q = 16 + 5q + -5q Combine like terms: 5q + -5q = 0 1 + -10q = 16 + 0 1 + -10q = 16 Add '-1' to each side of the equation. 1 + -1 + -10q = 16 + -1 Combine like terms: 1 + -1 = 0 0 + -10q = 16 + -1 -10q = 16 + -1 Combine like terms: 16 + -1 = 15 -10q = 15 Divide each side by '-10'. q = -1.5 Simplifying q = -1.5
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