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Simplifying 6n + -1(9n + 16) = 2 + -1(5n + -5) Reorder the terms: 6n + -1(16 + 9n) = 2 + -1(5n + -5) 6n + (16 * -1 + 9n * -1) = 2 + -1(5n + -5) 6n + (-16 + -9n) = 2 + -1(5n + -5) Reorder the terms: -16 + 6n + -9n = 2 + -1(5n + -5) Combine like terms: 6n + -9n = -3n -16 + -3n = 2 + -1(5n + -5) Reorder the terms: -16 + -3n = 2 + -1(-5 + 5n) -16 + -3n = 2 + (-5 * -1 + 5n * -1) -16 + -3n = 2 + (5 + -5n) Combine like terms: 2 + 5 = 7 -16 + -3n = 7 + -5n Solving -16 + -3n = 7 + -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. -16 + -3n + 5n = 7 + -5n + 5n Combine like terms: -3n + 5n = 2n -16 + 2n = 7 + -5n + 5n Combine like terms: -5n + 5n = 0 -16 + 2n = 7 + 0 -16 + 2n = 7 Add '16' to each side of the equation. -16 + 16 + 2n = 7 + 16 Combine like terms: -16 + 16 = 0 0 + 2n = 7 + 16 2n = 7 + 16 Combine like terms: 7 + 16 = 23 2n = 23 Divide each side by '2'. n = 11.5 Simplifying n = 11.5
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