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Simplifying 0.3w + 1.4 = -0.2w + -0.01 Reorder the terms: 1.4 + 0.3w = -0.2w + -0.01 Reorder the terms: 1.4 + 0.3w = -0.01 + -0.2w Solving 1.4 + 0.3w = -0.01 + -0.2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.2w' to each side of the equation. 1.4 + 0.3w + 0.2w = -0.01 + -0.2w + 0.2w Combine like terms: 0.3w + 0.2w = 0.5w 1.4 + 0.5w = -0.01 + -0.2w + 0.2w Combine like terms: -0.2w + 0.2w = 0.0 1.4 + 0.5w = -0.01 + 0.0 1.4 + 0.5w = -0.01 Add '-1.4' to each side of the equation. 1.4 + -1.4 + 0.5w = -0.01 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 0.5w = -0.01 + -1.4 0.5w = -0.01 + -1.4 Combine like terms: -0.01 + -1.4 = -1.41 0.5w = -1.41 Divide each side by '0.5'. w = -2.82 Simplifying w = -2.82
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