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Simplifying -8 = 2(w + 2) + -4w Reorder the terms: -8 = 2(2 + w) + -4w -8 = (2 * 2 + w * 2) + -4w -8 = (4 + 2w) + -4w Combine like terms: 2w + -4w = -2w -8 = 4 + -2w Solving -8 = 4 + -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. -8 + 2w = 4 + -2w + 2w Combine like terms: -2w + 2w = 0 -8 + 2w = 4 + 0 -8 + 2w = 4 Add '8' to each side of the equation. -8 + 8 + 2w = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 2w = 4 + 8 2w = 4 + 8 Combine like terms: 4 + 8 = 12 2w = 12 Divide each side by '2'. w = 6 Simplifying w = 6
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