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Simplifying 8 = -4w + 8(w + 2) Reorder the terms: 8 = -4w + 8(2 + w) 8 = -4w + (2 * 8 + w * 8) 8 = -4w + (16 + 8w) Reorder the terms: 8 = 16 + -4w + 8w Combine like terms: -4w + 8w = 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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