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Simplifying 8w + 14 = 5w + 6w + -10 Reorder the terms: 14 + 8w = 5w + 6w + -10 Reorder the terms: 14 + 8w = -10 + 5w + 6w Combine like terms: 5w + 6w = 11w 14 + 8w = -10 + 11w Solving 14 + 8w = -10 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. 14 + 8w + -11w = -10 + 11w + -11w Combine like terms: 8w + -11w = -3w 14 + -3w = -10 + 11w + -11w Combine like terms: 11w + -11w = 0 14 + -3w = -10 + 0 14 + -3w = -10 Add '-14' to each side of the equation. 14 + -14 + -3w = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -3w = -10 + -14 -3w = -10 + -14 Combine like terms: -10 + -14 = -24 -3w = -24 Divide each side by '-3'. w = 8 Simplifying w = 8
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