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Simplifying 4.7w + 11.8(1 + -1w) = 10 4.7w + (1 * 11.8 + -1w * 11.8) = 10 4.7w + (11.8 + -11.8w) = 10 Reorder the terms: 11.8 + 4.7w + -11.8w = 10 Combine like terms: 4.7w + -11.8w = -7.1w 11.8 + -7.1w = 10 Solving 11.8 + -7.1w = 10 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11.8' to each side of the equation. 11.8 + -11.8 + -7.1w = 10 + -11.8 Combine like terms: 11.8 + -11.8 = 0.0 0.0 + -7.1w = 10 + -11.8 -7.1w = 10 + -11.8 Combine like terms: 10 + -11.8 = -1.8 -7.1w = -1.8 Divide each side by '-7.1'. w = 0.2535211268 Simplifying w = 0.2535211268
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