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Simplifying -8(w + -3) = 3w + 46 Reorder the terms: -8(-3 + w) = 3w + 46 (-3 * -8 + w * -8) = 3w + 46 (24 + -8w) = 3w + 46 Reorder the terms: 24 + -8w = 46 + 3w Solving 24 + -8w = 46 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 24 + -8w + -3w = 46 + 3w + -3w Combine like terms: -8w + -3w = -11w 24 + -11w = 46 + 3w + -3w Combine like terms: 3w + -3w = 0 24 + -11w = 46 + 0 24 + -11w = 46 Add '-24' to each side of the equation. 24 + -24 + -11w = 46 + -24 Combine like terms: 24 + -24 = 0 0 + -11w = 46 + -24 -11w = 46 + -24 Combine like terms: 46 + -24 = 22 -11w = 22 Divide each side by '-11'. w = -2 Simplifying w = -2
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