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Simplifying 4(3q + 2) + 3(2q + 1) = 0 Reorder the terms: 4(2 + 3q) + 3(2q + 1) = 0 (2 * 4 + 3q * 4) + 3(2q + 1) = 0 (8 + 12q) + 3(2q + 1) = 0 Reorder the terms: 8 + 12q + 3(1 + 2q) = 0 8 + 12q + (1 * 3 + 2q * 3) = 0 8 + 12q + (3 + 6q) = 0 Reorder the terms: 8 + 3 + 12q + 6q = 0 Combine like terms: 8 + 3 = 11 11 + 12q + 6q = 0 Combine like terms: 12q + 6q = 18q 11 + 18q = 0 Solving 11 + 18q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 18q = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 18q = 0 + -11 18q = 0 + -11 Combine like terms: 0 + -11 = -11 18q = -11 Divide each side by '18'. q = -0.6111111111 Simplifying q = -0.6111111111
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