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Simplifying 0.2w + -2 = 0.1w + -1 Reorder the terms: -2 + 0.2w = 0.1w + -1 Reorder the terms: -2 + 0.2w = -1 + 0.1w Solving -2 + 0.2w = -1 + 0.1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.1w' to each side of the equation. -2 + 0.2w + -0.1w = -1 + 0.1w + -0.1w Combine like terms: 0.2w + -0.1w = 0.1w -2 + 0.1w = -1 + 0.1w + -0.1w Combine like terms: 0.1w + -0.1w = 0.0 -2 + 0.1w = -1 + 0.0 -2 + 0.1w = -1 Add '2' to each side of the equation. -2 + 2 + 0.1w = -1 + 2 Combine like terms: -2 + 2 = 0 0 + 0.1w = -1 + 2 0.1w = -1 + 2 Combine like terms: -1 + 2 = 1 0.1w = 1 Divide each side by '0.1'. w = 10 Simplifying w = 10
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