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Simplifying 0.5w + -0.75 = 0.67w + 2 Reorder the terms: -0.75 + 0.5w = 0.67w + 2 Reorder the terms: -0.75 + 0.5w = 2 + 0.67w Solving -0.75 + 0.5w = 2 + 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. -0.75 + 0.5w + -0.67w = 2 + 0.67w + -0.67w Combine like terms: 0.5w + -0.67w = -0.17w -0.75 + -0.17w = 2 + 0.67w + -0.67w Combine like terms: 0.67w + -0.67w = 0.00 -0.75 + -0.17w = 2 + 0.00 -0.75 + -0.17w = 2 Add '0.75' to each side of the equation. -0.75 + 0.75 + -0.17w = 2 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + -0.17w = 2 + 0.75 -0.17w = 2 + 0.75 Combine like terms: 2 + 0.75 = 2.75 -0.17w = 2.75 Divide each side by '-0.17'. w = -16.17647059 Simplifying w = -16.17647059
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