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Simplifying 0.5w + 3 = 0.67w + -5 Reorder the terms: 3 + 0.5w = 0.67w + -5 Reorder the terms: 3 + 0.5w = -5 + 0.67w Solving 3 + 0.5w = -5 + 0.67w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.67w' to each side of the equation. 3 + 0.5w + -0.67w = -5 + 0.67w + -0.67w Combine like terms: 0.5w + -0.67w = -0.17w 3 + -0.17w = -5 + 0.67w + -0.67w Combine like terms: 0.67w + -0.67w = 0.00 3 + -0.17w = -5 + 0.00 3 + -0.17w = -5 Add '-3' to each side of the equation. 3 + -3 + -0.17w = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -0.17w = -5 + -3 -0.17w = -5 + -3 Combine like terms: -5 + -3 = -8 -0.17w = -8 Divide each side by '-0.17'. w = 47.05882353 Simplifying w = 47.05882353
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