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Simplifying -4.2 = 9.1w + 23.1 Reorder the terms: -4.2 = 23.1 + 9.1w Solving -4.2 = 23.1 + 9.1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9.1w' to each side of the equation. -4.2 + -9.1w = 23.1 + 9.1w + -9.1w Combine like terms: 9.1w + -9.1w = 0.0 -4.2 + -9.1w = 23.1 + 0.0 -4.2 + -9.1w = 23.1 Add '4.2' to each side of the equation. -4.2 + 4.2 + -9.1w = 23.1 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + -9.1w = 23.1 + 4.2 -9.1w = 23.1 + 4.2 Combine like terms: 23.1 + 4.2 = 27.3 -9.1w = 27.3 Divide each side by '-9.1'. w = -3 Simplifying w = -3
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