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Simplifying 9n + -1(6n + 14) = 5 + -1(4n + -6) Reorder the terms: 9n + -1(14 + 6n) = 5 + -1(4n + -6) 9n + (14 * -1 + 6n * -1) = 5 + -1(4n + -6) 9n + (-14 + -6n) = 5 + -1(4n + -6) Reorder the terms: -14 + 9n + -6n = 5 + -1(4n + -6) Combine like terms: 9n + -6n = 3n -14 + 3n = 5 + -1(4n + -6) Reorder the terms: -14 + 3n = 5 + -1(-6 + 4n) -14 + 3n = 5 + (-6 * -1 + 4n * -1) -14 + 3n = 5 + (6 + -4n) Combine like terms: 5 + 6 = 11 -14 + 3n = 11 + -4n Solving -14 + 3n = 11 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -14 + 3n + 4n = 11 + -4n + 4n Combine like terms: 3n + 4n = 7n -14 + 7n = 11 + -4n + 4n Combine like terms: -4n + 4n = 0 -14 + 7n = 11 + 0 -14 + 7n = 11 Add '14' to each side of the equation. -14 + 14 + 7n = 11 + 14 Combine like terms: -14 + 14 = 0 0 + 7n = 11 + 14 7n = 11 + 14 Combine like terms: 11 + 14 = 25 7n = 25 Divide each side by '7'. n = 3.571428571 Simplifying n = 3.571428571
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