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Simplifying 110 + -11w + 7 = 7w + -14 + -7 Reorder the terms: 110 + 7 + -11w = 7w + -14 + -7 Combine like terms: 110 + 7 = 117 117 + -11w = 7w + -14 + -7 Reorder the terms: 117 + -11w = -14 + -7 + 7w Combine like terms: -14 + -7 = -21 117 + -11w = -21 + 7w Solving 117 + -11w = -21 + 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. 117 + -11w + -7w = -21 + 7w + -7w Combine like terms: -11w + -7w = -18w 117 + -18w = -21 + 7w + -7w Combine like terms: 7w + -7w = 0 117 + -18w = -21 + 0 117 + -18w = -21 Add '-117' to each side of the equation. 117 + -117 + -18w = -21 + -117 Combine like terms: 117 + -117 = 0 0 + -18w = -21 + -117 -18w = -21 + -117 Combine like terms: -21 + -117 = -138 -18w = -138 Divide each side by '-18'. w = 7.666666667 Simplifying w = 7.666666667
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