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Simplifying 8(q + 3) = -32 Reorder the terms: 8(3 + q) = -32 (3 * 8 + q * 8) = -32 (24 + 8q) = -32 Solving 24 + 8q = -32 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 + 8q = -32 + -24 Combine like terms: 24 + -24 = 0 0 + 8q = -32 + -24 8q = -32 + -24 Combine like terms: -32 + -24 = -56 8q = -56 Divide each side by '8'. q = -7 Simplifying q = -7
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