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Simplifying (q + 4)(39 + -7) = 0 Reorder the terms: (4 + q)(39 + -7) = 0 Combine like terms: 39 + -7 = 32 (4 + q)(32) = 0 Reorder the terms for easier multiplication: 32(4 + q) = 0 (4 * 32 + q * 32) = 0 (128 + 32q) = 0 Solving 128 + 32q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-128' to each side of the equation. 128 + -128 + 32q = 0 + -128 Combine like terms: 128 + -128 = 0 0 + 32q = 0 + -128 32q = 0 + -128 Combine like terms: 0 + -128 = -128 32q = -128 Divide each side by '32'. q = -4 Simplifying q = -4
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