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Simplifying w + -0.2w + 2.5 = 0.4(w + -0.75) Reorder the terms: 2.5 + w + -0.2w = 0.4(w + -0.75) Combine like terms: w + -0.2w = 0.8w 2.5 + 0.8w = 0.4(w + -0.75) Reorder the terms: 2.5 + 0.8w = 0.4(-0.75 + w) 2.5 + 0.8w = (-0.75 * 0.4 + w * 0.4) 2.5 + 0.8w = (-0.3 + 0.4w) Solving 2.5 + 0.8w = -0.3 + 0.4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.4w' to each side of the equation. 2.5 + 0.8w + -0.4w = -0.3 + 0.4w + -0.4w Combine like terms: 0.8w + -0.4w = 0.4w 2.5 + 0.4w = -0.3 + 0.4w + -0.4w Combine like terms: 0.4w + -0.4w = 0.0 2.5 + 0.4w = -0.3 + 0.0 2.5 + 0.4w = -0.3 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 0.4w = -0.3 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 0.4w = -0.3 + -2.5 0.4w = -0.3 + -2.5 Combine like terms: -0.3 + -2.5 = -2.8 0.4w = -2.8 Divide each side by '0.4'. w = -7 Simplifying w = -7
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