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Simplifying 0.33n + 8 = 0.50n + 2 Reorder the terms: 8 + 0.33n = 0.50n + 2 Reorder the terms: 8 + 0.33n = 2 + 0.50n Solving 8 + 0.33n = 2 + 0.50n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.50n' to each side of the equation. 8 + 0.33n + -0.50n = 2 + 0.50n + -0.50n Combine like terms: 0.33n + -0.50n = -0.17n 8 + -0.17n = 2 + 0.50n + -0.50n Combine like terms: 0.50n + -0.50n = 0.00 8 + -0.17n = 2 + 0.00 8 + -0.17n = 2 Add '-8' to each side of the equation. 8 + -8 + -0.17n = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -0.17n = 2 + -8 -0.17n = 2 + -8 Combine like terms: 2 + -8 = -6 -0.17n = -6 Divide each side by '-0.17'. n = 35.29411765 Simplifying n = 35.29411765
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