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Simplifying 2(n + -4) + -1(3 + -5n) = 6n Reorder the terms: 2(-4 + n) + -1(3 + -5n) = 6n (-4 * 2 + n * 2) + -1(3 + -5n) = 6n (-8 + 2n) + -1(3 + -5n) = 6n -8 + 2n + (3 * -1 + -5n * -1) = 6n -8 + 2n + (-3 + 5n) = 6n Reorder the terms: -8 + -3 + 2n + 5n = 6n Combine like terms: -8 + -3 = -11 -11 + 2n + 5n = 6n Combine like terms: 2n + 5n = 7n -11 + 7n = 6n Solving -11 + 7n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -11 + 7n + -6n = 6n + -6n Combine like terms: 7n + -6n = 1n -11 + 1n = 6n + -6n Combine like terms: 6n + -6n = 0 -11 + 1n = 0 Add '11' to each side of the equation. -11 + 11 + 1n = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 1n = 0 + 11 1n = 0 + 11 Combine like terms: 0 + 11 = 11 1n = 11 Divide each side by '1'. n = 11 Simplifying n = 11
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