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Simplifying 28 = 8(w + 5) + 4w Reorder the terms: 28 = 8(5 + w) + 4w 28 = (5 * 8 + w * 8) + 4w 28 = (40 + 8w) + 4w Combine like terms: 8w + 4w = 12w 28 = 40 + 12w Solving 28 = 40 + 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. 28 + -12w = 40 + 12w + -12w Combine like terms: 12w + -12w = 0 28 + -12w = 40 + 0 28 + -12w = 40 Add '-28' to each side of the equation. 28 + -28 + -12w = 40 + -28 Combine like terms: 28 + -28 = 0 0 + -12w = 40 + -28 -12w = 40 + -28 Combine like terms: 40 + -28 = 12 -12w = 12 Divide each side by '-12'. w = -1 Simplifying w = -1
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