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Simplifying 5(q + 8) = 15q Reorder the terms: 5(8 + q) = 15q (8 * 5 + q * 5) = 15q (40 + 5q) = 15q Solving 40 + 5q = 15q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-15q' to each side of the equation. 40 + 5q + -15q = 15q + -15q Combine like terms: 5q + -15q = -10q 40 + -10q = 15q + -15q Combine like terms: 15q + -15q = 0 40 + -10q = 0 Add '-40' to each side of the equation. 40 + -40 + -10q = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -10q = 0 + -40 -10q = 0 + -40 Combine like terms: 0 + -40 = -40 -10q = -40 Divide each side by '-10'. q = 4 Simplifying q = 4
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