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Simplifying 4(q + 8) = 40 Reorder the terms: 4(8 + q) = 40 (8 * 4 + q * 4) = 40 (32 + 4q) = 40 Solving 32 + 4q = 40 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 4q = 40 + -32 Combine like terms: 32 + -32 = 0 0 + 4q = 40 + -32 4q = 40 + -32 Combine like terms: 40 + -32 = 8 4q = 8 Divide each side by '4'. q = 2 Simplifying q = 2
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