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Simplifying 17 + -20q = (-13 + 5q) * 4 Reorder the terms for easier multiplication: 17 + -20q = 4(-13 + 5q) 17 + -20q = (-13 * 4 + 5q * 4) 17 + -20q = (-52 + 20q) Solving 17 + -20q = -52 + 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. 17 + -20q + -20q = -52 + 20q + -20q Combine like terms: -20q + -20q = -40q 17 + -40q = -52 + 20q + -20q Combine like terms: 20q + -20q = 0 17 + -40q = -52 + 0 17 + -40q = -52 Add '-17' to each side of the equation. 17 + -17 + -40q = -52 + -17 Combine like terms: 17 + -17 = 0 0 + -40q = -52 + -17 -40q = -52 + -17 Combine like terms: -52 + -17 = -69 -40q = -69 Divide each side by '-40'. q = 1.725 Simplifying q = 1.725
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