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Simplifying 17 + -20q = 4(5q + -13) * 5 Reorder the terms: 17 + -20q = 4(-13 + 5q) * 5 Reorder the terms for easier multiplication: 17 + -20q = 4 * 5(-13 + 5q) Multiply 4 * 5 17 + -20q = 20(-13 + 5q) 17 + -20q = (-13 * 20 + 5q * 20) 17 + -20q = (-260 + 100q) Solving 17 + -20q = -260 + 100q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-100q' to each side of the equation. 17 + -20q + -100q = -260 + 100q + -100q Combine like terms: -20q + -100q = -120q 17 + -120q = -260 + 100q + -100q Combine like terms: 100q + -100q = 0 17 + -120q = -260 + 0 17 + -120q = -260 Add '-17' to each side of the equation. 17 + -17 + -120q = -260 + -17 Combine like terms: 17 + -17 = 0 0 + -120q = -260 + -17 -120q = -260 + -17 Combine like terms: -260 + -17 = -277 -120q = -277 Divide each side by '-120'. q = 2.308333333 Simplifying q = 2.308333333
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