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Simplifying 2(2q + 1) + -5 + 3(q + 4) = 0 Reorder the terms: 2(1 + 2q) + -5 + 3(q + 4) = 0 (1 * 2 + 2q * 2) + -5 + 3(q + 4) = 0 (2 + 4q) + -5 + 3(q + 4) = 0 Reorder the terms: 2 + 4q + -5 + 3(4 + q) = 0 2 + 4q + -5 + (4 * 3 + q * 3) = 0 2 + 4q + -5 + (12 + 3q) = 0 Reorder the terms: 2 + -5 + 12 + 4q + 3q = 0 Combine like terms: 2 + -5 = -3 -3 + 12 + 4q + 3q = 0 Combine like terms: -3 + 12 = 9 9 + 4q + 3q = 0 Combine like terms: 4q + 3q = 7q 9 + 7q = 0 Solving 9 + 7q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7q = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7q = 0 + -9 7q = 0 + -9 Combine like terms: 0 + -9 = -9 7q = -9 Divide each side by '7'. q = -1.285714286 Simplifying q = -1.285714286
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