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Simplifying 17 + -2q = (13 + -5q) * 4 Reorder the terms for easier multiplication: 17 + -2q = 4(13 + -5q) 17 + -2q = (13 * 4 + -5q * 4) 17 + -2q = (52 + -20q) Solving 17 + -2q = 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 + -2q + 20q = 52 + -20q + 20q Combine like terms: -2q + 20q = 18q 17 + 18q = 52 + -20q + 20q Combine like terms: -20q + 20q = 0 17 + 18q = 52 + 0 17 + 18q = 52 Add '-17' to each side of the equation. 17 + -17 + 18q = 52 + -17 Combine like terms: 17 + -17 = 0 0 + 18q = 52 + -17 18q = 52 + -17 Combine like terms: 52 + -17 = 35 18q = 35 Divide each side by '18'. q = 1.944444444 Simplifying q = 1.944444444
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