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Simplifying 0.29n + 8 = 0.5n + 2 Reorder the terms: 8 + 0.29n = 0.5n + 2 Reorder the terms: 8 + 0.29n = 2 + 0.5n Solving 8 + 0.29n = 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 + 0.29n + -0.5n = 2 + 0.5n + -0.5n Combine like terms: 0.29n + -0.5n = -0.21n 8 + -0.21n = 2 + 0.5n + -0.5n Combine like terms: 0.5n + -0.5n = 0.0 8 + -0.21n = 2 + 0.0 8 + -0.21n = 2 Add '-8' to each side of the equation. 8 + -8 + -0.21n = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -0.21n = 2 + -8 -0.21n = 2 + -8 Combine like terms: 2 + -8 = -6 -0.21n = -6 Divide each side by '-0.21'. n = 28.57142857 Simplifying n = 28.57142857
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