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Simplifying 0.5n + -1.4167 = 0.67n + -2.167 Reorder the terms: -1.4167 + 0.5n = 0.67n + -2.167 Reorder the terms: -1.4167 + 0.5n = -2.167 + 0.67n Solving -1.4167 + 0.5n = -2.167 + 0.67n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.67n' to each side of the equation. -1.4167 + 0.5n + -0.67n = -2.167 + 0.67n + -0.67n Combine like terms: 0.5n + -0.67n = -0.17n -1.4167 + -0.17n = -2.167 + 0.67n + -0.67n Combine like terms: 0.67n + -0.67n = 0.00 -1.4167 + -0.17n = -2.167 + 0.00 -1.4167 + -0.17n = -2.167 Add '1.4167' to each side of the equation. -1.4167 + 1.4167 + -0.17n = -2.167 + 1.4167 Combine like terms: -1.4167 + 1.4167 = 0.0000 0.0000 + -0.17n = -2.167 + 1.4167 -0.17n = -2.167 + 1.4167 Combine like terms: -2.167 + 1.4167 = -0.7503 -0.17n = -0.7503 Divide each side by '-0.17'. n = 4.413529412 Simplifying n = 4.413529412
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