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Simplifying 4(q + 3) + 2q = -12 Reorder the terms: 4(3 + q) + 2q = -12 (3 * 4 + q * 4) + 2q = -12 (12 + 4q) + 2q = -12 Combine like terms: 4q + 2q = 6q 12 + 6q = -12 Solving 12 + 6q = -12 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6q = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 6q = -12 + -12 6q = -12 + -12 Combine like terms: -12 + -12 = -24 6q = -24 Divide each side by '6'. q = -4 Simplifying q = -4
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