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Simplifying 5.6w + 15.37 = 4.1w + -9.83 Reorder the terms: 15.37 + 5.6w = 4.1w + -9.83 Reorder the terms: 15.37 + 5.6w = -9.83 + 4.1w Solving 15.37 + 5.6w = -9.83 + 4.1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4.1w' to each side of the equation. 15.37 + 5.6w + -4.1w = -9.83 + 4.1w + -4.1w Combine like terms: 5.6w + -4.1w = 1.5w 15.37 + 1.5w = -9.83 + 4.1w + -4.1w Combine like terms: 4.1w + -4.1w = 0.0 15.37 + 1.5w = -9.83 + 0.0 15.37 + 1.5w = -9.83 Add '-15.37' to each side of the equation. 15.37 + -15.37 + 1.5w = -9.83 + -15.37 Combine like terms: 15.37 + -15.37 = 0.00 0.00 + 1.5w = -9.83 + -15.37 1.5w = -9.83 + -15.37 Combine like terms: -9.83 + -15.37 = -25.2 1.5w = -25.2 Divide each side by '1.5'. w = -16.8 Simplifying w = -16.8
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