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Simplifying -2(w + 1) = -5w + -26 Reorder the terms: -2(1 + w) = -5w + -26 (1 * -2 + w * -2) = -5w + -26 (-2 + -2w) = -5w + -26 Reorder the terms: -2 + -2w = -26 + -5w Solving -2 + -2w = -26 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -2 + -2w + 5w = -26 + -5w + 5w Combine like terms: -2w + 5w = 3w -2 + 3w = -26 + -5w + 5w Combine like terms: -5w + 5w = 0 -2 + 3w = -26 + 0 -2 + 3w = -26 Add '2' to each side of the equation. -2 + 2 + 3w = -26 + 2 Combine like terms: -2 + 2 = 0 0 + 3w = -26 + 2 3w = -26 + 2 Combine like terms: -26 + 2 = -24 3w = -24 Divide each side by '3'. w = -8 Simplifying w = -8
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