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Simplifying 32 = 6(w + 4) + -8w Reorder the terms: 32 = 6(4 + w) + -8w 32 = (4 * 6 + w * 6) + -8w 32 = (24 + 6w) + -8w Combine like terms: 6w + -8w = -2w 32 = 24 + -2w Solving 32 = 24 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 32 + 2w = 24 + -2w + 2w Combine like terms: -2w + 2w = 0 32 + 2w = 24 + 0 32 + 2w = 24 Add '-32' to each side of the equation. 32 + -32 + 2w = 24 + -32 Combine like terms: 32 + -32 = 0 0 + 2w = 24 + -32 2w = 24 + -32 Combine like terms: 24 + -32 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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