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Simplifying 24 = -4w + 6(w + 2) Reorder the terms: 24 = -4w + 6(2 + w) 24 = -4w + (2 * 6 + w * 6) 24 = -4w + (12 + 6w) Reorder the terms: 24 = 12 + -4w + 6w Combine like terms: -4w + 6w = 2w 24 = 12 + 2w Solving 24 = 12 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 24 + -2w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 24 + -2w = 12 + 0 24 + -2w = 12 Add '-24' to each side of the equation. 24 + -24 + -2w = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -2w = 12 + -24 -2w = 12 + -24 Combine like terms: 12 + -24 = -12 -2w = -12 Divide each side by '-2'. w = 6 Simplifying w = 6
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