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Simplifying 0.3w + -4 = 0.8w + -0.2w Reorder the terms: -4 + 0.3w = 0.8w + -0.2w Combine like terms: 0.8w + -0.2w = 0.6w -4 + 0.3w = 0.6w Solving -4 + 0.3w = 0.6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.6w' to each side of the equation. -4 + 0.3w + -0.6w = 0.6w + -0.6w Combine like terms: 0.3w + -0.6w = -0.3w -4 + -0.3w = 0.6w + -0.6w Combine like terms: 0.6w + -0.6w = 0.0 -4 + -0.3w = 0.0 Add '4' to each side of the equation. -4 + 4 + -0.3w = 0.0 + 4 Combine like terms: -4 + 4 = 0 0 + -0.3w = 0.0 + 4 -0.3w = 0.0 + 4 Combine like terms: 0.0 + 4 = 4 -0.3w = 4 Divide each side by '-0.3'. w = -13.33333333 Simplifying w = -13.33333333
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