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Simplifying -4(-9q + 8) = 4q Reorder the terms: -4(8 + -9q) = 4q (8 * -4 + -9q * -4) = 4q (-32 + 36q) = 4q Solving -32 + 36q = 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. -32 + 36q + -4q = 4q + -4q Combine like terms: 36q + -4q = 32q -32 + 32q = 4q + -4q Combine like terms: 4q + -4q = 0 -32 + 32q = 0 Add '32' to each side of the equation. -32 + 32 + 32q = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 32q = 0 + 32 32q = 0 + 32 Combine like terms: 0 + 32 = 32 32q = 32 Divide each side by '32'. q = 1 Simplifying q = 1
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