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Simplifying 7n + -1(9n + 17) = 9 + -1(5n + -3) Reorder the terms: 7n + -1(17 + 9n) = 9 + -1(5n + -3) 7n + (17 * -1 + 9n * -1) = 9 + -1(5n + -3) 7n + (-17 + -9n) = 9 + -1(5n + -3) Reorder the terms: -17 + 7n + -9n = 9 + -1(5n + -3) Combine like terms: 7n + -9n = -2n -17 + -2n = 9 + -1(5n + -3) Reorder the terms: -17 + -2n = 9 + -1(-3 + 5n) -17 + -2n = 9 + (-3 * -1 + 5n * -1) -17 + -2n = 9 + (3 + -5n) Combine like terms: 9 + 3 = 12 -17 + -2n = 12 + -5n Solving -17 + -2n = 12 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -17 + -2n + 5n = 12 + -5n + 5n Combine like terms: -2n + 5n = 3n -17 + 3n = 12 + -5n + 5n Combine like terms: -5n + 5n = 0 -17 + 3n = 12 + 0 -17 + 3n = 12 Add '17' to each side of the equation. -17 + 17 + 3n = 12 + 17 Combine like terms: -17 + 17 = 0 0 + 3n = 12 + 17 3n = 12 + 17 Combine like terms: 12 + 17 = 29 3n = 29 Divide each side by '3'. n = 9.666666667 Simplifying n = 9.666666667
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