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Simplifying 4(q + 3) + 5(3q + -2) = 0 Reorder the terms: 4(3 + q) + 5(3q + -2) = 0 (3 * 4 + q * 4) + 5(3q + -2) = 0 (12 + 4q) + 5(3q + -2) = 0 Reorder the terms: 12 + 4q + 5(-2 + 3q) = 0 12 + 4q + (-2 * 5 + 3q * 5) = 0 12 + 4q + (-10 + 15q) = 0 Reorder the terms: 12 + -10 + 4q + 15q = 0 Combine like terms: 12 + -10 = 2 2 + 4q + 15q = 0 Combine like terms: 4q + 15q = 19q 2 + 19q = 0 Solving 2 + 19q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 19q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 19q = 0 + -2 19q = 0 + -2 Combine like terms: 0 + -2 = -2 19q = -2 Divide each side by '19'. q = -0.1052631579 Simplifying q = -0.1052631579
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