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Simplifying -2w + 36 = 8w + -24 Reorder the terms: 36 + -2w = 8w + -24 Reorder the terms: 36 + -2w = -24 + 8w Solving 36 + -2w = -24 + 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 + -2w + -8w = -24 + 8w + -8w Combine like terms: -2w + -8w = -10w 36 + -10w = -24 + 8w + -8w Combine like terms: 8w + -8w = 0 36 + -10w = -24 + 0 36 + -10w = -24 Add '-36' to each side of the equation. 36 + -36 + -10w = -24 + -36 Combine like terms: 36 + -36 = 0 0 + -10w = -24 + -36 -10w = -24 + -36 Combine like terms: -24 + -36 = -60 -10w = -60 Divide each side by '-10'. w = 6 Simplifying w = 6
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