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Simplifying -2(w + 5) = 4w + 2 Reorder the terms: -2(5 + w) = 4w + 2 (5 * -2 + w * -2) = 4w + 2 (-10 + -2w) = 4w + 2 Reorder the terms: -10 + -2w = 2 + 4w Solving -10 + -2w = 2 + 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. -10 + -2w + -4w = 2 + 4w + -4w Combine like terms: -2w + -4w = -6w -10 + -6w = 2 + 4w + -4w Combine like terms: 4w + -4w = 0 -10 + -6w = 2 + 0 -10 + -6w = 2 Add '10' to each side of the equation. -10 + 10 + -6w = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -6w = 2 + 10 -6w = 2 + 10 Combine like terms: 2 + 10 = 12 -6w = 12 Divide each side by '-6'. w = -2 Simplifying w = -2
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