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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 = 15.4 -1w = 15.4 Divide each side by '-1'. w = -15.4 Simplifying w = -15.4
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