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Simplifying 32 = 6(w + 2) + -8w Reorder the terms: 32 = 6(2 + w) + -8w 32 = (2 * 6 + w * 6) + -8w 32 = (12 + 6w) + -8w Combine like terms: 6w + -8w = -2w 32 = 12 + -2w Solving 32 = 12 + -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 = 12 + -2w + 2w Combine like terms: -2w + 2w = 0 32 + 2w = 12 + 0 32 + 2w = 12 Add '-32' to each side of the equation. 32 + -32 + 2w = 12 + -32 Combine like terms: 32 + -32 = 0 0 + 2w = 12 + -32 2w = 12 + -32 Combine like terms: 12 + -32 = -20 2w = -20 Divide each side by '2'. w = -10 Simplifying w = -10
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