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Simplifying 5(3q + -9) = 5(9q + 16) Reorder the terms: 5(-9 + 3q) = 5(9q + 16) (-9 * 5 + 3q * 5) = 5(9q + 16) (-45 + 15q) = 5(9q + 16) Reorder the terms: -45 + 15q = 5(16 + 9q) -45 + 15q = (16 * 5 + 9q * 5) -45 + 15q = (80 + 45q) Solving -45 + 15q = 80 + 45q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-45q' to each side of the equation. -45 + 15q + -45q = 80 + 45q + -45q Combine like terms: 15q + -45q = -30q -45 + -30q = 80 + 45q + -45q Combine like terms: 45q + -45q = 0 -45 + -30q = 80 + 0 -45 + -30q = 80 Add '45' to each side of the equation. -45 + 45 + -30q = 80 + 45 Combine like terms: -45 + 45 = 0 0 + -30q = 80 + 45 -30q = 80 + 45 Combine like terms: 80 + 45 = 125 -30q = 125 Divide each side by '-30'. q = -4.166666667 Simplifying q = -4.166666667
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