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Simplifying 4(q + 6) + 3q = 0 Reorder the terms: 4(6 + q) + 3q = 0 (6 * 4 + q * 4) + 3q = 0 (24 + 4q) + 3q = 0 Combine like terms: 4q + 3q = 7q 24 + 7q = 0 Solving 24 + 7q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 7q = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 7q = 0 + -24 7q = 0 + -24 Combine like terms: 0 + -24 = -24 7q = -24 Divide each side by '7'. q = -3.428571429 Simplifying q = -3.428571429
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