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Simplifying -2(w + 7) = -5w + -41 Reorder the terms: -2(7 + w) = -5w + -41 (7 * -2 + w * -2) = -5w + -41 (-14 + -2w) = -5w + -41 Reorder the terms: -14 + -2w = -41 + -5w Solving -14 + -2w = -41 + -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. -14 + -2w + 5w = -41 + -5w + 5w Combine like terms: -2w + 5w = 3w -14 + 3w = -41 + -5w + 5w Combine like terms: -5w + 5w = 0 -14 + 3w = -41 + 0 -14 + 3w = -41 Add '14' to each side of the equation. -14 + 14 + 3w = -41 + 14 Combine like terms: -14 + 14 = 0 0 + 3w = -41 + 14 3w = -41 + 14 Combine like terms: -41 + 14 = -27 3w = -27 Divide each side by '3'. w = -9 Simplifying w = -9
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