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Simplifying 10w + -8 = 9 + 7w Reorder the terms: -8 + 10w = 9 + 7w Solving -8 + 10w = 9 + 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. -8 + 10w + -7w = 9 + 7w + -7w Combine like terms: 10w + -7w = 3w -8 + 3w = 9 + 7w + -7w Combine like terms: 7w + -7w = 0 -8 + 3w = 9 + 0 -8 + 3w = 9 Add '8' to each side of the equation. -8 + 8 + 3w = 9 + 8 Combine like terms: -8 + 8 = 0 0 + 3w = 9 + 8 3w = 9 + 8 Combine like terms: 9 + 8 = 17 3w = 17 Divide each side by '3'. w = 5.666666667 Simplifying w = 5.666666667
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