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Simplifying 24 = -8w + 4(w + -2) Reorder the terms: 24 = -8w + 4(-2 + w) 24 = -8w + (-2 * 4 + w * 4) 24 = -8w + (-8 + 4w) Reorder the terms: 24 = -8 + -8w + 4w Combine like terms: -8w + 4w = -4w 24 = -8 + -4w Solving 24 = -8 + -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 = -8 + -4w + 4w Combine like terms: -4w + 4w = 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 = -32 4w = -32 Divide each side by '4'. w = -8 Simplifying w = -8
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