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Simplifying -6(-52.5q + -99.63) + 38.26 = 4(75.3q + 30.67) Reorder the terms: -6(-99.63 + -52.5q) + 38.26 = 4(75.3q + 30.67) (-99.63 * -6 + -52.5q * -6) + 38.26 = 4(75.3q + 30.67) (597.78 + 315q) + 38.26 = 4(75.3q + 30.67) Reorder the terms: 597.78 + 38.26 + 315q = 4(75.3q + 30.67) Combine like terms: 597.78 + 38.26 = 636.04 636.04 + 315q = 4(75.3q + 30.67) Reorder the terms: 636.04 + 315q = 4(30.67 + 75.3q) 636.04 + 315q = (30.67 * 4 + 75.3q * 4) 636.04 + 315q = (122.68 + 301.2q) Solving 636.04 + 315q = 122.68 + 301.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-301.2q' to each side of the equation. 636.04 + 315q + -301.2q = 122.68 + 301.2q + -301.2q Combine like terms: 315q + -301.2q = 13.8q 636.04 + 13.8q = 122.68 + 301.2q + -301.2q Combine like terms: 301.2q + -301.2q = 0.0 636.04 + 13.8q = 122.68 + 0.0 636.04 + 13.8q = 122.68 Add '-636.04' to each side of the equation. 636.04 + -636.04 + 13.8q = 122.68 + -636.04 Combine like terms: 636.04 + -636.04 = 0.00 0.00 + 13.8q = 122.68 + -636.04 13.8q = 122.68 + -636.04 Combine like terms: 122.68 + -636.04 = -513.36 13.8q = -513.36 Divide each side by '13.8'. q = -37.2 Simplifying q = -37.2
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