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Simplifying 3(5q + 3) + 8 = 9 + 4q Reorder the terms: 3(3 + 5q) + 8 = 9 + 4q (3 * 3 + 5q * 3) + 8 = 9 + 4q (9 + 15q) + 8 = 9 + 4q Reorder the terms: 9 + 8 + 15q = 9 + 4q Combine like terms: 9 + 8 = 17 17 + 15q = 9 + 4q Solving 17 + 15q = 9 + 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 + 15q + -4q = 9 + 4q + -4q Combine like terms: 15q + -4q = 11q 17 + 11q = 9 + 4q + -4q Combine like terms: 4q + -4q = 0 17 + 11q = 9 + 0 17 + 11q = 9 Add '-17' to each side of the equation. 17 + -17 + 11q = 9 + -17 Combine like terms: 17 + -17 = 0 0 + 11q = 9 + -17 11q = 9 + -17 Combine like terms: 9 + -17 = -8 11q = -8 Divide each side by '11'. q = -0.7272727273 Simplifying q = -0.7272727273
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