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Simplifying 8 = -6w + 2(w + 8) Reorder the terms: 8 = -6w + 2(8 + w) 8 = -6w + (8 * 2 + w * 2) 8 = -6w + (16 + 2w) Reorder the terms: 8 = 16 + -6w + 2w Combine like terms: -6w + 2w = -4w 8 = 16 + -4w Solving 8 = 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. 8 + 4w = 16 + -4w + 4w Combine like terms: -4w + 4w = 0 8 + 4w = 16 + 0 8 + 4w = 16 Add '-8' to each side of the equation. 8 + -8 + 4w = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 4w = 16 + -8 4w = 16 + -8 Combine like terms: 16 + -8 = 8 4w = 8 Divide each side by '4'. w = 2 Simplifying w = 2
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