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Simplifying -2q + 4(3q + 9) = -1q + 10 Reorder the terms: -2q + 4(9 + 3q) = -1q + 10 -2q + (9 * 4 + 3q * 4) = -1q + 10 -2q + (36 + 12q) = -1q + 10 Reorder the terms: 36 + -2q + 12q = -1q + 10 Combine like terms: -2q + 12q = 10q 36 + 10q = -1q + 10 Reorder the terms: 36 + 10q = 10 + -1q Solving 36 + 10q = 10 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. 36 + 10q + q = 10 + -1q + q Combine like terms: 10q + q = 11q 36 + 11q = 10 + -1q + q Combine like terms: -1q + q = 0 36 + 11q = 10 + 0 36 + 11q = 10 Add '-36' to each side of the equation. 36 + -36 + 11q = 10 + -36 Combine like terms: 36 + -36 = 0 0 + 11q = 10 + -36 11q = 10 + -36 Combine like terms: 10 + -36 = -26 11q = -26 Divide each side by '11'. q = -2.363636364 Simplifying q = -2.363636364
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