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Simplifying 8w + -32 + 2w + 3w + -2w + -4 = 96 Reorder the terms: -32 + -4 + 8w + 2w + 3w + -2w = 96 Combine like terms: -32 + -4 = -36 -36 + 8w + 2w + 3w + -2w = 96 Combine like terms: 8w + 2w = 10w -36 + 10w + 3w + -2w = 96 Combine like terms: 10w + 3w = 13w -36 + 13w + -2w = 96 Combine like terms: 13w + -2w = 11w -36 + 11w = 96 Solving -36 + 11w = 96 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 11w = 96 + 36 Combine like terms: -36 + 36 = 0 0 + 11w = 96 + 36 11w = 96 + 36 Combine like terms: 96 + 36 = 132 11w = 132 Divide each side by '11'. w = 12 Simplifying w = 12
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