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Simplifying 5n + -2 + 6n = 3(5n + 2) + -6n + -4 Reorder the terms: -2 + 5n + 6n = 3(5n + 2) + -6n + -4 Combine like terms: 5n + 6n = 11n -2 + 11n = 3(5n + 2) + -6n + -4 Reorder the terms: -2 + 11n = 3(2 + 5n) + -6n + -4 -2 + 11n = (2 * 3 + 5n * 3) + -6n + -4 -2 + 11n = (6 + 15n) + -6n + -4 Reorder the terms: -2 + 11n = 6 + -4 + 15n + -6n Combine like terms: 6 + -4 = 2 -2 + 11n = 2 + 15n + -6n Combine like terms: 15n + -6n = 9n -2 + 11n = 2 + 9n Solving -2 + 11n = 2 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -2 + 11n + -9n = 2 + 9n + -9n Combine like terms: 11n + -9n = 2n -2 + 2n = 2 + 9n + -9n Combine like terms: 9n + -9n = 0 -2 + 2n = 2 + 0 -2 + 2n = 2 Add '2' to each side of the equation. -2 + 2 + 2n = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 2n = 2 + 2 2n = 2 + 2 Combine like terms: 2 + 2 = 4 2n = 4 Divide each side by '2'. n = 2 Simplifying n = 2
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