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Simplifying 10 + 8q + 17 = 9(3q + -17) Reorder the terms: 10 + 17 + 8q = 9(3q + -17) Combine like terms: 10 + 17 = 27 27 + 8q = 9(3q + -17) Reorder the terms: 27 + 8q = 9(-17 + 3q) 27 + 8q = (-17 * 9 + 3q * 9) 27 + 8q = (-153 + 27q) Solving 27 + 8q = -153 + 27q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-27q' to each side of the equation. 27 + 8q + -27q = -153 + 27q + -27q Combine like terms: 8q + -27q = -19q 27 + -19q = -153 + 27q + -27q Combine like terms: 27q + -27q = 0 27 + -19q = -153 + 0 27 + -19q = -153 Add '-27' to each side of the equation. 27 + -27 + -19q = -153 + -27 Combine like terms: 27 + -27 = 0 0 + -19q = -153 + -27 -19q = -153 + -27 Combine like terms: -153 + -27 = -180 -19q = -180 Divide each side by '-19'. q = 9.473684211 Simplifying q = 9.473684211
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