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