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Simplifying 30.38 = w + 0.4w Combine like terms: w + 0.4w = 1.4w 30.38 = 1.4w Solving 30.38 = 1.4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.4w' to each side of the equation. 30.38 + -1.4w = 1.4w + -1.4w Combine like terms: 1.4w + -1.4w = 0.0 30.38 + -1.4w = 0.0 Add '-30.38' to each side of the equation. 30.38 + -30.38 + -1.4w = 0.0 + -30.38 Combine like terms: 30.38 + -30.38 = 0.00 0.00 + -1.4w = 0.0 + -30.38 -1.4w = 0.0 + -30.38 Combine like terms: 0.0 + -30.38 = -30.38 -1.4w = -30.38 Divide each side by '-1.4'. w = 21.7 Simplifying w = 21.7
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