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Simplifying 0.14(w + 2) = 0.3 + 0.2w Reorder the terms: 0.14(2 + w) = 0.3 + 0.2w (2 * 0.14 + w * 0.14) = 0.3 + 0.2w (0.28 + 0.14w) = 0.3 + 0.2w Solving 0.28 + 0.14w = 0.3 + 0.2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.2w' to each side of the equation. 0.28 + 0.14w + -0.2w = 0.3 + 0.2w + -0.2w Combine like terms: 0.14w + -0.2w = -0.06w 0.28 + -0.06w = 0.3 + 0.2w + -0.2w Combine like terms: 0.2w + -0.2w = 0.0 0.28 + -0.06w = 0.3 + 0.0 0.28 + -0.06w = 0.3 Add '-0.28' to each side of the equation. 0.28 + -0.28 + -0.06w = 0.3 + -0.28 Combine like terms: 0.28 + -0.28 = 0.00 0.00 + -0.06w = 0.3 + -0.28 -0.06w = 0.3 + -0.28 Combine like terms: 0.3 + -0.28 = 0.02 -0.06w = 0.02 Divide each side by '-0.06'. w = -0.3333333333 Simplifying w = -0.3333333333
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