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Simplifying 17 + -20q = (-13 + -1q) * 4 Reorder the terms for easier multiplication: 17 + -20q = 4(-13 + -1q) 17 + -20q = (-13 * 4 + -1q * 4) 17 + -20q = (-52 + -4q) Solving 17 + -20q = -52 + -4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4q' to each side of the equation. 17 + -20q + 4q = -52 + -4q + 4q Combine like terms: -20q + 4q = -16q 17 + -16q = -52 + -4q + 4q Combine like terms: -4q + 4q = 0 17 + -16q = -52 + 0 17 + -16q = -52 Add '-17' to each side of the equation. 17 + -17 + -16q = -52 + -17 Combine like terms: 17 + -17 = 0 0 + -16q = -52 + -17 -16q = -52 + -17 Combine like terms: -52 + -17 = -69 -16q = -69 Divide each side by '-16'. q = 4.3125 Simplifying q = 4.3125
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