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Simplifying 0.2w + 0.5w + -0.75 = 5 + -1w Reorder the terms: -0.75 + 0.2w + 0.5w = 5 + -1w Combine like terms: 0.2w + 0.5w = 0.7w -0.75 + 0.7w = 5 + -1w Solving -0.75 + 0.7w = 5 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -0.75 + 0.7w + w = 5 + -1w + w Combine like terms: 0.7w + w = 1.7w -0.75 + 1.7w = 5 + -1w + w Combine like terms: -1w + w = 0 -0.75 + 1.7w = 5 + 0 -0.75 + 1.7w = 5 Add '0.75' to each side of the equation. -0.75 + 0.75 + 1.7w = 5 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + 1.7w = 5 + 0.75 1.7w = 5 + 0.75 Combine like terms: 5 + 0.75 = 5.75 1.7w = 5.75 Divide each side by '1.7'. w = 3.382352941 Simplifying w = 3.382352941
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