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Simplifying 5.8w + 1.1 = 6.3w + 5.6 Reorder the terms: 1.1 + 5.8w = 6.3w + 5.6 Reorder the terms: 1.1 + 5.8w = 5.6 + 6.3w Solving 1.1 + 5.8w = 5.6 + 6.3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6.3w' to each side of the equation. 1.1 + 5.8w + -6.3w = 5.6 + 6.3w + -6.3w Combine like terms: 5.8w + -6.3w = -0.5w 1.1 + -0.5w = 5.6 + 6.3w + -6.3w Combine like terms: 6.3w + -6.3w = 0.0 1.1 + -0.5w = 5.6 + 0.0 1.1 + -0.5w = 5.6 Add '-1.1' to each side of the equation. 1.1 + -1.1 + -0.5w = 5.6 + -1.1 Combine like terms: 1.1 + -1.1 = 0.0 0.0 + -0.5w = 5.6 + -1.1 -0.5w = 5.6 + -1.1 Combine like terms: 5.6 + -1.1 = 4.5 -0.5w = 4.5 Divide each side by '-0.5'. w = -9 Simplifying w = -9
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