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Simplifying 7(w + -5) = -4w + -24 Reorder the terms: 7(-5 + w) = -4w + -24 (-5 * 7 + w * 7) = -4w + -24 (-35 + 7w) = -4w + -24 Reorder the terms: -35 + 7w = -24 + -4w Solving -35 + 7w = -24 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -35 + 7w + 4w = -24 + -4w + 4w Combine like terms: 7w + 4w = 11w -35 + 11w = -24 + -4w + 4w Combine like terms: -4w + 4w = 0 -35 + 11w = -24 + 0 -35 + 11w = -24 Add '35' to each side of the equation. -35 + 35 + 11w = -24 + 35 Combine like terms: -35 + 35 = 0 0 + 11w = -24 + 35 11w = -24 + 35 Combine like terms: -24 + 35 = 11 11w = 11 Divide each side by '11'. w = 1 Simplifying w = 1
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