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Simplifying 0.33w + 3 = 0.66w + -5 Reorder the terms: 3 + 0.33w = 0.66w + -5 Reorder the terms: 3 + 0.33w = -5 + 0.66w Solving 3 + 0.33w = -5 + 0.66w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.66w' to each side of the equation. 3 + 0.33w + -0.66w = -5 + 0.66w + -0.66w Combine like terms: 0.33w + -0.66w = -0.33w 3 + -0.33w = -5 + 0.66w + -0.66w Combine like terms: 0.66w + -0.66w = 0.00 3 + -0.33w = -5 + 0.00 3 + -0.33w = -5 Add '-3' to each side of the equation. 3 + -3 + -0.33w = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -0.33w = -5 + -3 -0.33w = -5 + -3 Combine like terms: -5 + -3 = -8 -0.33w = -8 Divide each side by '-0.33'. w = 24.24242424 Simplifying w = 24.24242424
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