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Simplifying 2(n + -6) + -1(7 + -5n) = 6n Reorder the terms: 2(-6 + n) + -1(7 + -5n) = 6n (-6 * 2 + n * 2) + -1(7 + -5n) = 6n (-12 + 2n) + -1(7 + -5n) = 6n -12 + 2n + (7 * -1 + -5n * -1) = 6n -12 + 2n + (-7 + 5n) = 6n Reorder the terms: -12 + -7 + 2n + 5n = 6n Combine like terms: -12 + -7 = -19 -19 + 2n + 5n = 6n Combine like terms: 2n + 5n = 7n -19 + 7n = 6n Solving -19 + 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. -19 + 7n + -6n = 6n + -6n Combine like terms: 7n + -6n = 1n -19 + 1n = 6n + -6n Combine like terms: 6n + -6n = 0 -19 + 1n = 0 Add '19' to each side of the equation. -19 + 19 + 1n = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 1n = 0 + 19 1n = 0 + 19 Combine like terms: 0 + 19 = 19 1n = 19 Divide each side by '1'. n = 19 Simplifying n = 19
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