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Simplifying 5(3q + -9) = 5q + 16 Reorder the terms: 5(-9 + 3q) = 5q + 16 (-9 * 5 + 3q * 5) = 5q + 16 (-45 + 15q) = 5q + 16 Reorder the terms: -45 + 15q = 16 + 5q Solving -45 + 15q = 16 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. -45 + 15q + -5q = 16 + 5q + -5q Combine like terms: 15q + -5q = 10q -45 + 10q = 16 + 5q + -5q Combine like terms: 5q + -5q = 0 -45 + 10q = 16 + 0 -45 + 10q = 16 Add '45' to each side of the equation. -45 + 45 + 10q = 16 + 45 Combine like terms: -45 + 45 = 0 0 + 10q = 16 + 45 10q = 16 + 45 Combine like terms: 16 + 45 = 61 10q = 61 Divide each side by '10'. q = 6.1 Simplifying q = 6.1
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