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Simplifying 2(0.33w + 0.25) = 4 + 0.33w Reorder the terms: 2(0.25 + 0.33w) = 4 + 0.33w (0.25 * 2 + 0.33w * 2) = 4 + 0.33w (0.5 + 0.66w) = 4 + 0.33w Solving 0.5 + 0.66w = 4 + 0.33w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.33w' to each side of the equation. 0.5 + 0.66w + -0.33w = 4 + 0.33w + -0.33w Combine like terms: 0.66w + -0.33w = 0.33w 0.5 + 0.33w = 4 + 0.33w + -0.33w Combine like terms: 0.33w + -0.33w = 0.00 0.5 + 0.33w = 4 + 0.00 0.5 + 0.33w = 4 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.33w = 4 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.33w = 4 + -0.5 0.33w = 4 + -0.5 Combine like terms: 4 + -0.5 = 3.5 0.33w = 3.5 Divide each side by '0.33'. w = 10.60606061 Simplifying w = 10.60606061
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