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Simplifying 0.1w + 0.1w + -0.4 = -0.1w + -0.1 Reorder the terms: -0.4 + 0.1w + 0.1w = -0.1w + -0.1 Combine like terms: 0.1w + 0.1w = 0.2w -0.4 + 0.2w = -0.1w + -0.1 Reorder the terms: -0.4 + 0.2w = -0.1 + -0.1w Solving -0.4 + 0.2w = -0.1 + -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. -0.4 + 0.2w + 0.1w = -0.1 + -0.1w + 0.1w Combine like terms: 0.2w + 0.1w = 0.3w -0.4 + 0.3w = -0.1 + -0.1w + 0.1w Combine like terms: -0.1w + 0.1w = 0.0 -0.4 + 0.3w = -0.1 + 0.0 -0.4 + 0.3w = -0.1 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.3w = -0.1 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.3w = -0.1 + 0.4 0.3w = -0.1 + 0.4 Combine like terms: -0.1 + 0.4 = 0.3 0.3w = 0.3 Divide each side by '0.3'. w = 1 Simplifying w = 1
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