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Simplifying 2n + 9 = 8(0.4n + -1) Reorder the terms: 9 + 2n = 8(0.4n + -1) Reorder the terms: 9 + 2n = 8(-1 + 0.4n) 9 + 2n = (-1 * 8 + 0.4n * 8) 9 + 2n = (-8 + 3.2n) Solving 9 + 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 + 2n + -3.2n = -8 + 3.2n + -3.2n Combine like terms: 2n + -3.2n = -1.2n 9 + -1.2n = -8 + 3.2n + -3.2n Combine like terms: 3.2n + -3.2n = 0.0 9 + -1.2n = -8 + 0.0 9 + -1.2n = -8 Add '-9' to each side of the equation. 9 + -9 + -1.2n = -8 + -9 Combine like terms: 9 + -9 = 0 0 + -1.2n = -8 + -9 -1.2n = -8 + -9 Combine like terms: -8 + -9 = -17 -1.2n = -17 Divide each side by '-1.2'. n = 14.16666667 Simplifying n = 14.16666667
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