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Simplifying w + 7 = 11w + -23 Reorder the terms: 7 + w = 11w + -23 Reorder the terms: 7 + w = -23 + 11w Solving 7 + w = -23 + 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. 7 + w + -11w = -23 + 11w + -11w Combine like terms: w + -11w = -10w 7 + -10w = -23 + 11w + -11w Combine like terms: 11w + -11w = 0 7 + -10w = -23 + 0 7 + -10w = -23 Add '-7' to each side of the equation. 7 + -7 + -10w = -23 + -7 Combine like terms: 7 + -7 = 0 0 + -10w = -23 + -7 -10w = -23 + -7 Combine like terms: -23 + -7 = -30 -10w = -30 Divide each side by '-10'. w = 3 Simplifying w = 3
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