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Simplifying 9n + -1(6n + 11) = 7 + -1(2n + -4) Reorder the terms: 9n + -1(11 + 6n) = 7 + -1(2n + -4) 9n + (11 * -1 + 6n * -1) = 7 + -1(2n + -4) 9n + (-11 + -6n) = 7 + -1(2n + -4) Reorder the terms: -11 + 9n + -6n = 7 + -1(2n + -4) Combine like terms: 9n + -6n = 3n -11 + 3n = 7 + -1(2n + -4) Reorder the terms: -11 + 3n = 7 + -1(-4 + 2n) -11 + 3n = 7 + (-4 * -1 + 2n * -1) -11 + 3n = 7 + (4 + -2n) Combine like terms: 7 + 4 = 11 -11 + 3n = 11 + -2n Solving -11 + 3n = 11 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -11 + 3n + 2n = 11 + -2n + 2n Combine like terms: 3n + 2n = 5n -11 + 5n = 11 + -2n + 2n Combine like terms: -2n + 2n = 0 -11 + 5n = 11 + 0 -11 + 5n = 11 Add '11' to each side of the equation. -11 + 11 + 5n = 11 + 11 Combine like terms: -11 + 11 = 0 0 + 5n = 11 + 11 5n = 11 + 11 Combine like terms: 11 + 11 = 22 5n = 22 Divide each side by '5'. n = 4.4 Simplifying n = 4.4
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