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Simplifying 0.666n + 8 = 0.5n + 2 Reorder the terms: 8 + 0.666n = 0.5n + 2 Reorder the terms: 8 + 0.666n = 2 + 0.5n Solving 8 + 0.666n = 2 + 0.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.5n' to each side of the equation. 8 + 0.666n + -0.5n = 2 + 0.5n + -0.5n Combine like terms: 0.666n + -0.5n = 0.166n 8 + 0.166n = 2 + 0.5n + -0.5n Combine like terms: 0.5n + -0.5n = 0.0 8 + 0.166n = 2 + 0.0 8 + 0.166n = 2 Add '-8' to each side of the equation. 8 + -8 + 0.166n = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 0.166n = 2 + -8 0.166n = 2 + -8 Combine like terms: 2 + -8 = -6 0.166n = -6 Divide each side by '0.166'. n = -36.14457831 Simplifying n = -36.14457831
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