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Simplifying 0.3(w + 10) = 1.8w + 2 Reorder the terms: 0.3(10 + w) = 1.8w + 2 (10 * 0.3 + w * 0.3) = 1.8w + 2 (3 + 0.3w) = 1.8w + 2 Reorder the terms: 3 + 0.3w = 2 + 1.8w Solving 3 + 0.3w = 2 + 1.8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.8w' to each side of the equation. 3 + 0.3w + -1.8w = 2 + 1.8w + -1.8w Combine like terms: 0.3w + -1.8w = -1.5w 3 + -1.5w = 2 + 1.8w + -1.8w Combine like terms: 1.8w + -1.8w = 0.0 3 + -1.5w = 2 + 0.0 3 + -1.5w = 2 Add '-3' to each side of the equation. 3 + -3 + -1.5w = 2 + -3 Combine like terms: 3 + -3 = 0 0 + -1.5w = 2 + -3 -1.5w = 2 + -3 Combine like terms: 2 + -3 = -1 -1.5w = -1 Divide each side by '-1.5'. w = 0.6666666667 Simplifying w = 0.6666666667
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