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Simplifying 0.2n + 9 = 8(0.04n + -1) Reorder the terms: 9 + 0.2n = 8(0.04n + -1) Reorder the terms: 9 + 0.2n = 8(-1 + 0.04n) 9 + 0.2n = (-1 * 8 + 0.04n * 8) 9 + 0.2n = (-8 + 0.32n) Solving 9 + 0.2n = -8 + 0.32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.32n' to each side of the equation. 9 + 0.2n + -0.32n = -8 + 0.32n + -0.32n Combine like terms: 0.2n + -0.32n = -0.12n 9 + -0.12n = -8 + 0.32n + -0.32n Combine like terms: 0.32n + -0.32n = 0.00 9 + -0.12n = -8 + 0.00 9 + -0.12n = -8 Add '-9' to each side of the equation. 9 + -9 + -0.12n = -8 + -9 Combine like terms: 9 + -9 = 0 0 + -0.12n = -8 + -9 -0.12n = -8 + -9 Combine like terms: -8 + -9 = -17 -0.12n = -17 Divide each side by '-0.12'. n = 141.6666667 Simplifying n = 141.6666667
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