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Simplifying 32 = -4w + 6(w + 2) Reorder the terms: 32 = -4w + 6(2 + w) 32 = -4w + (2 * 6 + w * 6) 32 = -4w + (12 + 6w) Reorder the terms: 32 = 12 + -4w + 6w Combine like terms: -4w + 6w = 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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