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Simplifying 3(w + -8) + -1(8 + -8w) = 10w Reorder the terms: 3(-8 + w) + -1(8 + -8w) = 10w (-8 * 3 + w * 3) + -1(8 + -8w) = 10w (-24 + 3w) + -1(8 + -8w) = 10w -24 + 3w + (8 * -1 + -8w * -1) = 10w -24 + 3w + (-8 + 8w) = 10w Reorder the terms: -24 + -8 + 3w + 8w = 10w Combine like terms: -24 + -8 = -32 -32 + 3w + 8w = 10w Combine like terms: 3w + 8w = 11w -32 + 11w = 10w Solving -32 + 11w = 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. -32 + 11w + -10w = 10w + -10w Combine like terms: 11w + -10w = 1w -32 + 1w = 10w + -10w Combine like terms: 10w + -10w = 0 -32 + 1w = 0 Add '32' to each side of the equation. -32 + 32 + 1w = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 1w = 0 + 32 1w = 0 + 32 Combine like terms: 0 + 32 = 32 1w = 32 Divide each side by '1'. w = 32 Simplifying w = 32
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