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Simplifying -2(w + -2) = -7w + 49 Reorder the terms: -2(-2 + w) = -7w + 49 (-2 * -2 + w * -2) = -7w + 49 (4 + -2w) = -7w + 49 Reorder the terms: 4 + -2w = 49 + -7w Solving 4 + -2w = 49 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 4 + -2w + 7w = 49 + -7w + 7w Combine like terms: -2w + 7w = 5w 4 + 5w = 49 + -7w + 7w Combine like terms: -7w + 7w = 0 4 + 5w = 49 + 0 4 + 5w = 49 Add '-4' to each side of the equation. 4 + -4 + 5w = 49 + -4 Combine like terms: 4 + -4 = 0 0 + 5w = 49 + -4 5w = 49 + -4 Combine like terms: 49 + -4 = 45 5w = 45 Divide each side by '5'. w = 9 Simplifying w = 9
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