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Simplifying 2(0.3w + 0.4) = 4 + 0.3w Reorder the terms: 2(0.4 + 0.3w) = 4 + 0.3w (0.4 * 2 + 0.3w * 2) = 4 + 0.3w (0.8 + 0.6w) = 4 + 0.3w Solving 0.8 + 0.6w = 4 + 0.3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.3w' to each side of the equation. 0.8 + 0.6w + -0.3w = 4 + 0.3w + -0.3w Combine like terms: 0.6w + -0.3w = 0.3w 0.8 + 0.3w = 4 + 0.3w + -0.3w Combine like terms: 0.3w + -0.3w = 0.0 0.8 + 0.3w = 4 + 0.0 0.8 + 0.3w = 4 Add '-0.8' to each side of the equation. 0.8 + -0.8 + 0.3w = 4 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.3w = 4 + -0.8 0.3w = 4 + -0.8 Combine like terms: 4 + -0.8 = 3.2 0.3w = 3.2 Divide each side by '0.3'. w = 10.66666667 Simplifying w = 10.66666667
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