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Simplifying 36 = 8(w + 3) + 4w Reorder the terms: 36 = 8(3 + w) + 4w 36 = (3 * 8 + w * 8) + 4w 36 = (24 + 8w) + 4w Combine like terms: 8w + 4w = 12w 36 = 24 + 12w Solving 36 = 24 + 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. 36 + -12w = 24 + 12w + -12w Combine like terms: 12w + -12w = 0 36 + -12w = 24 + 0 36 + -12w = 24 Add '-36' to each side of the equation. 36 + -36 + -12w = 24 + -36 Combine like terms: 36 + -36 = 0 0 + -12w = 24 + -36 -12w = 24 + -36 Combine like terms: 24 + -36 = -12 -12w = -12 Divide each side by '-12'. w = 1 Simplifying w = 1
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