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Simplifying 9n + -1(6n + 16) = 8 + -1(4n + -2) Reorder the terms: 9n + -1(16 + 6n) = 8 + -1(4n + -2) 9n + (16 * -1 + 6n * -1) = 8 + -1(4n + -2) 9n + (-16 + -6n) = 8 + -1(4n + -2) Reorder the terms: -16 + 9n + -6n = 8 + -1(4n + -2) Combine like terms: 9n + -6n = 3n -16 + 3n = 8 + -1(4n + -2) Reorder the terms: -16 + 3n = 8 + -1(-2 + 4n) -16 + 3n = 8 + (-2 * -1 + 4n * -1) -16 + 3n = 8 + (2 + -4n) Combine like terms: 8 + 2 = 10 -16 + 3n = 10 + -4n Solving -16 + 3n = 10 + -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. -16 + 3n + 4n = 10 + -4n + 4n Combine like terms: 3n + 4n = 7n -16 + 7n = 10 + -4n + 4n Combine like terms: -4n + 4n = 0 -16 + 7n = 10 + 0 -16 + 7n = 10 Add '16' to each side of the equation. -16 + 16 + 7n = 10 + 16 Combine like terms: -16 + 16 = 0 0 + 7n = 10 + 16 7n = 10 + 16 Combine like terms: 10 + 16 = 26 7n = 26 Divide each side by '7'. n = 3.714285714 Simplifying n = 3.714285714
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