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Simplifying -0.5w + 5.8 = -1.8w + -3.3 Reorder the terms: 5.8 + -0.5w = -1.8w + -3.3 Reorder the terms: 5.8 + -0.5w = -3.3 + -1.8w Solving 5.8 + -0.5w = -3.3 + -1.8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1.8w' to each side of the equation. 5.8 + -0.5w + 1.8w = -3.3 + -1.8w + 1.8w Combine like terms: -0.5w + 1.8w = 1.3w 5.8 + 1.3w = -3.3 + -1.8w + 1.8w Combine like terms: -1.8w + 1.8w = 0.0 5.8 + 1.3w = -3.3 + 0.0 5.8 + 1.3w = -3.3 Add '-5.8' to each side of the equation. 5.8 + -5.8 + 1.3w = -3.3 + -5.8 Combine like terms: 5.8 + -5.8 = 0.0 0.0 + 1.3w = -3.3 + -5.8 1.3w = -3.3 + -5.8 Combine like terms: -3.3 + -5.8 = -9.1 1.3w = -9.1 Divide each side by '1.3'. w = -7 Simplifying w = -7
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