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Simplifying 5.7w = 4.6(3.9 + -2w) 5.7w = (3.9 * 4.6 + -2w * 4.6) 5.7w = (17.94 + -9.2w) Solving 5.7w = 17.94 + -9.2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9.2w' to each side of the equation. 5.7w + 9.2w = 17.94 + -9.2w + 9.2w Combine like terms: 5.7w + 9.2w = 14.9w 14.9w = 17.94 + -9.2w + 9.2w Combine like terms: -9.2w + 9.2w = 0.0 14.9w = 17.94 + 0.0 14.9w = 17.94 Divide each side by '14.9'. w = 1.204026846 Simplifying w = 1.204026846
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