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Simplifying 36 = 4w + 4(w + 5) Reorder the terms: 36 = 4w + 4(5 + w) 36 = 4w + (5 * 4 + w * 4) 36 = 4w + (20 + 4w) Reorder the terms: 36 = 20 + 4w + 4w Combine like terms: 4w + 4w = 8w 36 = 20 + 8w Solving 36 = 20 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 36 + -8w = 20 + 8w + -8w Combine like terms: 8w + -8w = 0 36 + -8w = 20 + 0 36 + -8w = 20 Add '-36' to each side of the equation. 36 + -36 + -8w = 20 + -36 Combine like terms: 36 + -36 = 0 0 + -8w = 20 + -36 -8w = 20 + -36 Combine like terms: 20 + -36 = -16 -8w = -16 Divide each side by '-8'. w = 2 Simplifying w = 2
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