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Simplifying 8w + 24 = -4(w + 6) Reorder the terms: 24 + 8w = -4(w + 6) Reorder the terms: 24 + 8w = -4(6 + w) 24 + 8w = (6 * -4 + w * -4) 24 + 8w = (-24 + -4w) Solving 24 + 8w = -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. 24 + 8w + 4w = -24 + -4w + 4w Combine like terms: 8w + 4w = 12w 24 + 12w = -24 + -4w + 4w Combine like terms: -4w + 4w = 0 24 + 12w = -24 + 0 24 + 12w = -24 Add '-24' to each side of the equation. 24 + -24 + 12w = -24 + -24 Combine like terms: 24 + -24 = 0 0 + 12w = -24 + -24 12w = -24 + -24 Combine like terms: -24 + -24 = -48 12w = -48 Divide each side by '12'. w = -4 Simplifying w = -4
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