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Simplifying -2(w + 1) = 2w + 8 Reorder the terms: -2(1 + w) = 2w + 8 (1 * -2 + w * -2) = 2w + 8 (-2 + -2w) = 2w + 8 Reorder the terms: -2 + -2w = 8 + 2w Solving -2 + -2w = 8 + 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. -2 + -2w + -2w = 8 + 2w + -2w Combine like terms: -2w + -2w = -4w -2 + -4w = 8 + 2w + -2w Combine like terms: 2w + -2w = 0 -2 + -4w = 8 + 0 -2 + -4w = 8 Add '2' to each side of the equation. -2 + 2 + -4w = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -4w = 8 + 2 -4w = 8 + 2 Combine like terms: 8 + 2 = 10 -4w = 10 Divide each side by '-4'. w = -2.5 Simplifying w = -2.5
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