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Simplifying 32 = 4(w + 5) + 8w Reorder the terms: 32 = 4(5 + w) + 8w 32 = (5 * 4 + w * 4) + 8w 32 = (20 + 4w) + 8w Combine like terms: 4w + 8w = 12w 32 = 20 + 12w Solving 32 = 20 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 32 + -12w = 20 + 12w + -12w Combine like terms: 12w + -12w = 0 32 + -12w = 20 + 0 32 + -12w = 20 Add '-32' to each side of the equation. 32 + -32 + -12w = 20 + -32 Combine like terms: 32 + -32 = 0 0 + -12w = 20 + -32 -12w = 20 + -32 Combine like terms: 20 + -32 = -12 -12w = -12 Divide each side by '-12'. w = 1 Simplifying w = 1
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