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Simplifying 17 = 8q + -1(3 + 4q) 17 = 8q + (3 * -1 + 4q * -1) 17 = 8q + (-3 + -4q) Reorder the terms: 17 = -3 + 8q + -4q Combine like terms: 8q + -4q = 4q 17 = -3 + 4q Solving 17 = -3 + 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 + -4q = -3 + 4q + -4q Combine like terms: 4q + -4q = 0 17 + -4q = -3 + 0 17 + -4q = -3 Add '-17' to each side of the equation. 17 + -17 + -4q = -3 + -17 Combine like terms: 17 + -17 = 0 0 + -4q = -3 + -17 -4q = -3 + -17 Combine like terms: -3 + -17 = -20 -4q = -20 Divide each side by '-4'. q = 5 Simplifying q = 5
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