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Simplifying 1.7w + -5 = 0.9w + 0.2 Reorder the terms: -5 + 1.7w = 0.9w + 0.2 Reorder the terms: -5 + 1.7w = 0.2 + 0.9w Solving -5 + 1.7w = 0.2 + 0.9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.9w' to each side of the equation. -5 + 1.7w + -0.9w = 0.2 + 0.9w + -0.9w Combine like terms: 1.7w + -0.9w = 0.8w -5 + 0.8w = 0.2 + 0.9w + -0.9w Combine like terms: 0.9w + -0.9w = 0.0 -5 + 0.8w = 0.2 + 0.0 -5 + 0.8w = 0.2 Add '5' to each side of the equation. -5 + 5 + 0.8w = 0.2 + 5 Combine like terms: -5 + 5 = 0 0 + 0.8w = 0.2 + 5 0.8w = 0.2 + 5 Combine like terms: 0.2 + 5 = 5.2 0.8w = 5.2 Divide each side by '0.8'. w = 6.5 Simplifying w = 6.5
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