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