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Simplifying 36 = 8w + 2(w + 8) Reorder the terms: 36 = 8w + 2(8 + w) 36 = 8w + (8 * 2 + w * 2) 36 = 8w + (16 + 2w) Reorder the terms: 36 = 16 + 8w + 2w Combine like terms: 8w + 2w = 10w 36 = 16 + 10w Solving 36 = 16 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 36 + -10w = 16 + 10w + -10w Combine like terms: 10w + -10w = 0 36 + -10w = 16 + 0 36 + -10w = 16 Add '-36' to each side of the equation. 36 + -36 + -10w = 16 + -36 Combine like terms: 36 + -36 = 0 0 + -10w = 16 + -36 -10w = 16 + -36 Combine like terms: 16 + -36 = -20 -10w = -20 Divide each side by '-10'. w = 2 Simplifying w = 2
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