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Simplifying -24 = -6w + 2(w + 8) Reorder the terms: -24 = -6w + 2(8 + w) -24 = -6w + (8 * 2 + w * 2) -24 = -6w + (16 + 2w) Reorder the terms: -24 = 16 + -6w + 2w Combine like terms: -6w + 2w = -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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