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Simplifying 5w = 5.1w + -30 Reorder the terms: 5w = -30 + 5.1w Solving 5w = -30 + 5.1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5.1w' to each side of the equation. 5w + -5.1w = -30 + 5.1w + -5.1w Combine like terms: 5w + -5.1w = -0.1w -0.1w = -30 + 5.1w + -5.1w Combine like terms: 5.1w + -5.1w = 0.0 -0.1w = -30 + 0.0 -0.1w = -30 Divide each side by '-0.1'. w = 300 Simplifying w = 300
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