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Simplifying 10.1 = w + 5.3 Reorder the terms: 10.1 = 5.3 + w Solving 10.1 = 5.3 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 10.1 + -1w = 5.3 + w + -1w Combine like terms: w + -1w = 0 10.1 + -1w = 5.3 + 0 10.1 + -1w = 5.3 Add '-10.1' to each side of the equation. 10.1 + -10.1 + -1w = 5.3 + -10.1 Combine like terms: 10.1 + -10.1 = 0.0 0.0 + -1w = 5.3 + -10.1 -1w = 5.3 + -10.1 Combine like terms: 5.3 + -10.1 = -4.8 -1w = -4.8 Divide each side by '-1'. w = 4.8 Simplifying w = 4.8
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