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Simplifying 24 = 4(w + -4) + -8(w) Reorder the terms: 24 = 4(-4 + w) + -8(w) 24 = (-4 * 4 + w * 4) + -8(w) 24 = (-16 + 4w) + -8(w) Combine like terms: 4w + -8w = -4w 24 = -16 + -4w Solving 24 = -16 + -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. 24 + 4w = -16 + -4w + 4w Combine like terms: -4w + 4w = 0 24 + 4w = -16 + 0 24 + 4w = -16 Add '-24' to each side of the equation. 24 + -24 + 4w = -16 + -24 Combine like terms: 24 + -24 = 0 0 + 4w = -16 + -24 4w = -16 + -24 Combine like terms: -16 + -24 = -40 4w = -40 Divide each side by '4'. w = -10 Simplifying w = -10
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