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Simplifying 0.2 + 9 = 8(0.4n + -1) Combine like terms: 0.2 + 9 = 9.2 9.2 = 8(0.4n + -1) Reorder the terms: 9.2 = 8(-1 + 0.4n) 9.2 = (-1 * 8 + 0.4n * 8) 9.2 = (-8 + 3.2n) Solving 9.2 = -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. 9.2 + -3.2n = -8 + 3.2n + -3.2n Combine like terms: 3.2n + -3.2n = 0.0 9.2 + -3.2n = -8 + 0.0 9.2 + -3.2n = -8 Add '-9.2' to each side of the equation. 9.2 + -9.2 + -3.2n = -8 + -9.2 Combine like terms: 9.2 + -9.2 = 0.0 0.0 + -3.2n = -8 + -9.2 -3.2n = -8 + -9.2 Combine like terms: -8 + -9.2 = -17.2 -3.2n = -17.2 Divide each side by '-3.2'. n = 5.375 Simplifying n = 5.375
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