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Simplifying 2w + 49 = -7(w + 2) Reorder the terms: 49 + 2w = -7(w + 2) Reorder the terms: 49 + 2w = -7(2 + w) 49 + 2w = (2 * -7 + w * -7) 49 + 2w = (-14 + -7w) Solving 49 + 2w = -14 + -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. 49 + 2w + 7w = -14 + -7w + 7w Combine like terms: 2w + 7w = 9w 49 + 9w = -14 + -7w + 7w Combine like terms: -7w + 7w = 0 49 + 9w = -14 + 0 49 + 9w = -14 Add '-49' to each side of the equation. 49 + -49 + 9w = -14 + -49 Combine like terms: 49 + -49 = 0 0 + 9w = -14 + -49 9w = -14 + -49 Combine like terms: -14 + -49 = -63 9w = -63 Divide each side by '9'. w = -7 Simplifying w = -7
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