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Simplifying 0.8w + -206 = 1.4w + 0.3 Reorder the terms: -206 + 0.8w = 1.4w + 0.3 Reorder the terms: -206 + 0.8w = 0.3 + 1.4w Solving -206 + 0.8w = 0.3 + 1.4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.4w' to each side of the equation. -206 + 0.8w + -1.4w = 0.3 + 1.4w + -1.4w Combine like terms: 0.8w + -1.4w = -0.6w -206 + -0.6w = 0.3 + 1.4w + -1.4w Combine like terms: 1.4w + -1.4w = 0.0 -206 + -0.6w = 0.3 + 0.0 -206 + -0.6w = 0.3 Add '206' to each side of the equation. -206 + 206 + -0.6w = 0.3 + 206 Combine like terms: -206 + 206 = 0 0 + -0.6w = 0.3 + 206 -0.6w = 0.3 + 206 Combine like terms: 0.3 + 206 = 206.3 -0.6w = 206.3 Divide each side by '-0.6'. w = -343.8333333 Simplifying w = -343.8333333
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