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Simplifying -4(2w + 1) + -1w = 32 Reorder the terms: -4(1 + 2w) + -1w = 32 (1 * -4 + 2w * -4) + -1w = 32 (-4 + -8w) + -1w = 32 Combine like terms: -8w + -1w = -9w -4 + -9w = 32 Solving -4 + -9w = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -9w = 32 + 4 Combine like terms: -4 + 4 = 0 0 + -9w = 32 + 4 -9w = 32 + 4 Combine like terms: 32 + 4 = 36 -9w = 36 Divide each side by '-9'. w = -4 Simplifying w = -4
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