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Simplifying 2.8w + -50 = 1.3w + 10 Reorder the terms: -50 + 2.8w = 1.3w + 10 Reorder the terms: -50 + 2.8w = 10 + 1.3w Solving -50 + 2.8w = 10 + 1.3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.3w' to each side of the equation. -50 + 2.8w + -1.3w = 10 + 1.3w + -1.3w Combine like terms: 2.8w + -1.3w = 1.5w -50 + 1.5w = 10 + 1.3w + -1.3w Combine like terms: 1.3w + -1.3w = 0.0 -50 + 1.5w = 10 + 0.0 -50 + 1.5w = 10 Add '50' to each side of the equation. -50 + 50 + 1.5w = 10 + 50 Combine like terms: -50 + 50 = 0 0 + 1.5w = 10 + 50 1.5w = 10 + 50 Combine like terms: 10 + 50 = 60 1.5w = 60 Divide each side by '1.5'. w = 40 Simplifying w = 40
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