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Simplifying 4(3q + 1) = -32 Reorder the terms: 4(1 + 3q) = -32 (1 * 4 + 3q * 4) = -32 (4 + 12q) = -32 Solving 4 + 12q = -32 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 12q = -32 + -4 Combine like terms: 4 + -4 = 0 0 + 12q = -32 + -4 12q = -32 + -4 Combine like terms: -32 + -4 = -36 12q = -36 Divide each side by '12'. q = -3 Simplifying q = -3
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