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Simplifying 0.05(3q + 87) = 1.5q + 43.5 Reorder the terms: 0.05(87 + 3q) = 1.5q + 43.5 (87 * 0.05 + 3q * 0.05) = 1.5q + 43.5 (4.35 + 0.15q) = 1.5q + 43.5 Reorder the terms: 4.35 + 0.15q = 43.5 + 1.5q Solving 4.35 + 0.15q = 43.5 + 1.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.5q' to each side of the equation. 4.35 + 0.15q + -1.5q = 43.5 + 1.5q + -1.5q Combine like terms: 0.15q + -1.5q = -1.35q 4.35 + -1.35q = 43.5 + 1.5q + -1.5q Combine like terms: 1.5q + -1.5q = 0.0 4.35 + -1.35q = 43.5 + 0.0 4.35 + -1.35q = 43.5 Add '-4.35' to each side of the equation. 4.35 + -4.35 + -1.35q = 43.5 + -4.35 Combine like terms: 4.35 + -4.35 = 0.00 0.00 + -1.35q = 43.5 + -4.35 -1.35q = 43.5 + -4.35 Combine like terms: 43.5 + -4.35 = 39.15 -1.35q = 39.15 Divide each side by '-1.35'. q = -29 Simplifying q = -29
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