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Simplifying 5w + 9.9 = 4.9 + 8w Reorder the terms: 9.9 + 5w = 4.9 + 8w Solving 9.9 + 5w = 4.9 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 9.9 + 5w + -8w = 4.9 + 8w + -8w Combine like terms: 5w + -8w = -3w 9.9 + -3w = 4.9 + 8w + -8w Combine like terms: 8w + -8w = 0 9.9 + -3w = 4.9 + 0 9.9 + -3w = 4.9 Add '-9.9' to each side of the equation. 9.9 + -9.9 + -3w = 4.9 + -9.9 Combine like terms: 9.9 + -9.9 = 0.0 0.0 + -3w = 4.9 + -9.9 -3w = 4.9 + -9.9 Combine like terms: 4.9 + -9.9 = -5 -3w = -5 Divide each side by '-3'. w = 1.666666667 Simplifying w = 1.666666667
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