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Simplifying 3(w + 6) = -8w + -37 Reorder the terms: 3(6 + w) = -8w + -37 (6 * 3 + w * 3) = -8w + -37 (18 + 3w) = -8w + -37 Reorder the terms: 18 + 3w = -37 + -8w Solving 18 + 3w = -37 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 18 + 3w + 8w = -37 + -8w + 8w Combine like terms: 3w + 8w = 11w 18 + 11w = -37 + -8w + 8w Combine like terms: -8w + 8w = 0 18 + 11w = -37 + 0 18 + 11w = -37 Add '-18' to each side of the equation. 18 + -18 + 11w = -37 + -18 Combine like terms: 18 + -18 = 0 0 + 11w = -37 + -18 11w = -37 + -18 Combine like terms: -37 + -18 = -55 11w = -55 Divide each side by '11'. w = -5 Simplifying w = -5
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