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Simplifying 5(q + 2) + 2q = -32 Reorder the terms: 5(2 + q) + 2q = -32 (2 * 5 + q * 5) + 2q = -32 (10 + 5q) + 2q = -32 Combine like terms: 5q + 2q = 7q 10 + 7q = -32 Solving 10 + 7q = -32 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 7q = -32 + -10 Combine like terms: 10 + -10 = 0 0 + 7q = -32 + -10 7q = -32 + -10 Combine like terms: -32 + -10 = -42 7q = -42 Divide each side by '7'. q = -6 Simplifying q = -6
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