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Simplifying 8w + 49 = -3(w + 2) Reorder the terms: 49 + 8w = -3(w + 2) Reorder the terms: 49 + 8w = -3(2 + w) 49 + 8w = (2 * -3 + w * -3) 49 + 8w = (-6 + -3w) Solving 49 + 8w = -6 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 49 + 8w + 3w = -6 + -3w + 3w Combine like terms: 8w + 3w = 11w 49 + 11w = -6 + -3w + 3w Combine like terms: -3w + 3w = 0 49 + 11w = -6 + 0 49 + 11w = -6 Add '-49' to each side of the equation. 49 + -49 + 11w = -6 + -49 Combine like terms: 49 + -49 = 0 0 + 11w = -6 + -49 11w = -6 + -49 Combine like terms: -6 + -49 = -55 11w = -55 Divide each side by '11'. w = -5 Simplifying w = -5
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