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Simplifying 0.3w + -0.636 = 0.05 + -0.05w Reorder the terms: -0.636 + 0.3w = 0.05 + -0.05w Solving -0.636 + 0.3w = 0.05 + -0.05w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.05w' to each side of the equation. -0.636 + 0.3w + 0.05w = 0.05 + -0.05w + 0.05w Combine like terms: 0.3w + 0.05w = 0.35w -0.636 + 0.35w = 0.05 + -0.05w + 0.05w Combine like terms: -0.05w + 0.05w = 0.00 -0.636 + 0.35w = 0.05 + 0.00 -0.636 + 0.35w = 0.05 Add '0.636' to each side of the equation. -0.636 + 0.636 + 0.35w = 0.05 + 0.636 Combine like terms: -0.636 + 0.636 = 0.000 0.000 + 0.35w = 0.05 + 0.636 0.35w = 0.05 + 0.636 Combine like terms: 0.05 + 0.636 = 0.686 0.35w = 0.686 Divide each side by '0.35'. w = 1.96 Simplifying w = 1.96
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