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Simplifying 0.2n + 9 = 8(0.4n + 1) Reorder the terms: 9 + 0.2n = 8(0.4n + 1) Reorder the terms: 9 + 0.2n = 8(1 + 0.4n) 9 + 0.2n = (1 * 8 + 0.4n * 8) 9 + 0.2n = (8 + 3.2n) Solving 9 + 0.2n = 8 + 3.2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3.2n' to each side of the equation. 9 + 0.2n + -3.2n = 8 + 3.2n + -3.2n Combine like terms: 0.2n + -3.2n = -3n 9 + -3n = 8 + 3.2n + -3.2n Combine like terms: 3.2n + -3.2n = 0.0 9 + -3n = 8 + 0.0 9 + -3n = 8 Add '-9' to each side of the equation. 9 + -9 + -3n = 8 + -9 Combine like terms: 9 + -9 = 0 0 + -3n = 8 + -9 -3n = 8 + -9 Combine like terms: 8 + -9 = -1 -3n = -1 Divide each side by '-3'. n = 0.3333333333 Simplifying n = 0.3333333333
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