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Simplifying 2(n + -9) + -1(12 + -5n) = 6n Reorder the terms: 2(-9 + n) + -1(12 + -5n) = 6n (-9 * 2 + n * 2) + -1(12 + -5n) = 6n (-18 + 2n) + -1(12 + -5n) = 6n -18 + 2n + (12 * -1 + -5n * -1) = 6n -18 + 2n + (-12 + 5n) = 6n Reorder the terms: -18 + -12 + 2n + 5n = 6n Combine like terms: -18 + -12 = -30 -30 + 2n + 5n = 6n Combine like terms: 2n + 5n = 7n -30 + 7n = 6n Solving -30 + 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. -30 + 7n + -6n = 6n + -6n Combine like terms: 7n + -6n = 1n -30 + 1n = 6n + -6n Combine like terms: 6n + -6n = 0 -30 + 1n = 0 Add '30' to each side of the equation. -30 + 30 + 1n = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 1n = 0 + 30 1n = 0 + 30 Combine like terms: 0 + 30 = 30 1n = 30 Divide each side by '1'. n = 30 Simplifying n = 30
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