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Simplifying 0.2w + 0.5 + -0.75 = 5 + -1w Reorder the terms: 0.5 + -0.75 + 0.2w = 5 + -1w Combine like terms: 0.5 + -0.75 = -0.25 -0.25 + 0.2w = 5 + -1w Solving -0.25 + 0.2w = 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. -0.25 + 0.2w + w = 5 + -1w + w Combine like terms: 0.2w + w = 1.2w -0.25 + 1.2w = 5 + -1w + w Combine like terms: -1w + w = 0 -0.25 + 1.2w = 5 + 0 -0.25 + 1.2w = 5 Add '0.25' to each side of the equation. -0.25 + 0.25 + 1.2w = 5 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + 1.2w = 5 + 0.25 1.2w = 5 + 0.25 Combine like terms: 5 + 0.25 = 5.25 1.2w = 5.25 Divide each side by '1.2'. w = 4.375 Simplifying w = 4.375
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