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Simplifying 17 + -20q = (-13 + -15q) * 4 Reorder the terms for easier multiplication: 17 + -20q = 4(-13 + -15q) 17 + -20q = (-13 * 4 + -15q * 4) 17 + -20q = (-52 + -60q) Solving 17 + -20q = -52 + -60q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '60q' to each side of the equation. 17 + -20q + 60q = -52 + -60q + 60q Combine like terms: -20q + 60q = 40q 17 + 40q = -52 + -60q + 60q Combine like terms: -60q + 60q = 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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