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