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Simplifying 3.1 = 41.5 + -6w Solving 3.1 = 41.5 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 3.1 + 6w = 41.5 + -6w + 6w Combine like terms: -6w + 6w = 0 3.1 + 6w = 41.5 + 0 3.1 + 6w = 41.5 Add '-3.1' to each side of the equation. 3.1 + -3.1 + 6w = 41.5 + -3.1 Combine like terms: 3.1 + -3.1 = 0.0 0.0 + 6w = 41.5 + -3.1 6w = 41.5 + -3.1 Combine like terms: 41.5 + -3.1 = 38.4 6w = 38.4 Divide each side by '6'. w = 6.4 Simplifying w = 6.4
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