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Simplifying -4w + 24 = -8(w + -1) Reorder the terms: 24 + -4w = -8(w + -1) Reorder the terms: 24 + -4w = -8(-1 + w) 24 + -4w = (-1 * -8 + w * -8) 24 + -4w = (8 + -8w) Solving 24 + -4w = 8 + -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. 24 + -4w + 8w = 8 + -8w + 8w Combine like terms: -4w + 8w = 4w 24 + 4w = 8 + -8w + 8w Combine like terms: -8w + 8w = 0 24 + 4w = 8 + 0 24 + 4w = 8 Add '-24' to each side of the equation. 24 + -24 + 4w = 8 + -24 Combine like terms: 24 + -24 = 0 0 + 4w = 8 + -24 4w = 8 + -24 Combine like terms: 8 + -24 = -16 4w = -16 Divide each side by '4'. w = -4 Simplifying w = -4
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