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Simplifying 9(2q + 1) + -3q = 4q + -6 Reorder the terms: 9(1 + 2q) + -3q = 4q + -6 (1 * 9 + 2q * 9) + -3q = 4q + -6 (9 + 18q) + -3q = 4q + -6 Combine like terms: 18q + -3q = 15q 9 + 15q = 4q + -6 Reorder the terms: 9 + 15q = -6 + 4q Solving 9 + 15q = -6 + 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. 9 + 15q + -4q = -6 + 4q + -4q Combine like terms: 15q + -4q = 11q 9 + 11q = -6 + 4q + -4q Combine like terms: 4q + -4q = 0 9 + 11q = -6 + 0 9 + 11q = -6 Add '-9' to each side of the equation. 9 + -9 + 11q = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 11q = -6 + -9 11q = -6 + -9 Combine like terms: -6 + -9 = -15 11q = -15 Divide each side by '11'. q = -1.363636364 Simplifying q = -1.363636364
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