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Simplifying -4w + 8 = -8(w + 3) Reorder the terms: 8 + -4w = -8(w + 3) Reorder the terms: 8 + -4w = -8(3 + w) 8 + -4w = (3 * -8 + w * -8) 8 + -4w = (-24 + -8w) Solving 8 + -4w = -24 + -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. 8 + -4w + 8w = -24 + -8w + 8w Combine like terms: -4w + 8w = 4w 8 + 4w = -24 + -8w + 8w Combine like terms: -8w + 8w = 0 8 + 4w = -24 + 0 8 + 4w = -24 Add '-8' to each side of the equation. 8 + -8 + 4w = -24 + -8 Combine like terms: 8 + -8 = 0 0 + 4w = -24 + -8 4w = -24 + -8 Combine like terms: -24 + -8 = -32 4w = -32 Divide each side by '4'. w = -8 Simplifying w = -8
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