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Simplifying 0.4w + -15 = 1.2w Reorder the terms: -15 + 0.4w = 1.2w Solving -15 + 0.4w = 1.2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.2w' to each side of the equation. -15 + 0.4w + -1.2w = 1.2w + -1.2w Combine like terms: 0.4w + -1.2w = -0.8w -15 + -0.8w = 1.2w + -1.2w Combine like terms: 1.2w + -1.2w = 0.0 -15 + -0.8w = 0.0 Add '15' to each side of the equation. -15 + 15 + -0.8w = 0.0 + 15 Combine like terms: -15 + 15 = 0 0 + -0.8w = 0.0 + 15 -0.8w = 0.0 + 15 Combine like terms: 0.0 + 15 = 15 -0.8w = 15 Divide each side by '-0.8'. w = -18.75 Simplifying w = -18.75
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