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Simplifying 7w + -6 + 3w = 56 + -1w + 46 Reorder the terms: -6 + 7w + 3w = 56 + -1w + 46 Combine like terms: 7w + 3w = 10w -6 + 10w = 56 + -1w + 46 Reorder the terms: -6 + 10w = 56 + 46 + -1w Combine like terms: 56 + 46 = 102 -6 + 10w = 102 + -1w Solving -6 + 10w = 102 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -6 + 10w + w = 102 + -1w + w Combine like terms: 10w + w = 11w -6 + 11w = 102 + -1w + w Combine like terms: -1w + w = 0 -6 + 11w = 102 + 0 -6 + 11w = 102 Add '6' to each side of the equation. -6 + 6 + 11w = 102 + 6 Combine like terms: -6 + 6 = 0 0 + 11w = 102 + 6 11w = 102 + 6 Combine like terms: 102 + 6 = 108 11w = 108 Divide each side by '11'. w = 9.818181818 Simplifying w = 9.818181818
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