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Simplifying 32 = -4w + 6(w + 6) Reorder the terms: 32 = -4w + 6(6 + w) 32 = -4w + (6 * 6 + w * 6) 32 = -4w + (36 + 6w) Reorder the terms: 32 = 36 + -4w + 6w Combine like terms: -4w + 6w = 2w 32 = 36 + 2w Solving 32 = 36 + 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 = 36 + 2w + -2w Combine like terms: 2w + -2w = 0 32 + -2w = 36 + 0 32 + -2w = 36 Add '-32' to each side of the equation. 32 + -32 + -2w = 36 + -32 Combine like terms: 32 + -32 = 0 0 + -2w = 36 + -32 -2w = 36 + -32 Combine like terms: 36 + -32 = 4 -2w = 4 Divide each side by '-2'. w = -2 Simplifying w = -2
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