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Simplifying 11w + 7 = 58 + -7w Reorder the terms: 7 + 11w = 58 + -7w Solving 7 + 11w = 58 + -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. 7 + 11w + 7w = 58 + -7w + 7w Combine like terms: 11w + 7w = 18w 7 + 18w = 58 + -7w + 7w Combine like terms: -7w + 7w = 0 7 + 18w = 58 + 0 7 + 18w = 58 Add '-7' to each side of the equation. 7 + -7 + 18w = 58 + -7 Combine like terms: 7 + -7 = 0 0 + 18w = 58 + -7 18w = 58 + -7 Combine like terms: 58 + -7 = 51 18w = 51 Divide each side by '18'. w = 2.833333333 Simplifying w = 2.833333333
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