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Simplifying 0.8x + -0.7x + 0.4w = 4 Reorder the terms: 0.4w + 0.8x + -0.7x = 4 Combine like terms: 0.8x + -0.7x = 0.1x 0.4w + 0.1x = 4 Solving 0.4w + 0.1x = 4 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 0.4w + 0.1x + -0.1x = 4 + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 0.4w + 0.0 = 4 + -0.1x 0.4w = 4 + -0.1x Divide each side by '0.4'. w = 10 + -0.25x Simplifying w = 10 + -0.25x
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