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Simplifying 470 = 25q + 5(30 + -1q) 470 = 25q + (30 * 5 + -1q * 5) 470 = 25q + (150 + -5q) Reorder the terms: 470 = 150 + 25q + -5q Combine like terms: 25q + -5q = 20q 470 = 150 + 20q Solving 470 = 150 + 20q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-20q' to each side of the equation. 470 + -20q = 150 + 20q + -20q Combine like terms: 20q + -20q = 0 470 + -20q = 150 + 0 470 + -20q = 150 Add '-470' to each side of the equation. 470 + -470 + -20q = 150 + -470 Combine like terms: 470 + -470 = 0 0 + -20q = 150 + -470 -20q = 150 + -470 Combine like terms: 150 + -470 = -320 -20q = -320 Divide each side by '-20'. q = 16 Simplifying q = 16
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