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Simplifying 9 = 8 + 3(5n + -1) Reorder the terms: 9 = 8 + 3(-1 + 5n) 9 = 8 + (-1 * 3 + 5n * 3) 9 = 8 + (-3 + 15n) Combine like terms: 8 + -3 = 5 9 = 5 + 15n Solving 9 = 5 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 9 + -15n = 5 + 15n + -15n Combine like terms: 15n + -15n = 0 9 + -15n = 5 + 0 9 + -15n = 5 Add '-9' to each side of the equation. 9 + -9 + -15n = 5 + -9 Combine like terms: 9 + -9 = 0 0 + -15n = 5 + -9 -15n = 5 + -9 Combine like terms: 5 + -9 = -4 -15n = -4 Divide each side by '-15'. n = 0.2666666667 Simplifying n = 0.2666666667
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