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Simplifying 0.7w + -0.3w + 0.1 = 5 Reorder the terms: 0.1 + 0.7w + -0.3w = 5 Combine like terms: 0.7w + -0.3w = 0.4w 0.1 + 0.4w = 5 Solving 0.1 + 0.4w = 5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.1' to each side of the equation. 0.1 + -0.1 + 0.4w = 5 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.4w = 5 + -0.1 0.4w = 5 + -0.1 Combine like terms: 5 + -0.1 = 4.9 0.4w = 4.9 Divide each side by '0.4'. w = 12.25 Simplifying w = 12.25
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