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Simplifying 7(n + -2) + -1(6 + -3n) = 9n Reorder the terms: 7(-2 + n) + -1(6 + -3n) = 9n (-2 * 7 + n * 7) + -1(6 + -3n) = 9n (-14 + 7n) + -1(6 + -3n) = 9n -14 + 7n + (6 * -1 + -3n * -1) = 9n -14 + 7n + (-6 + 3n) = 9n Reorder the terms: -14 + -6 + 7n + 3n = 9n Combine like terms: -14 + -6 = -20 -20 + 7n + 3n = 9n Combine like terms: 7n + 3n = 10n -20 + 10n = 9n Solving -20 + 10n = 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. -20 + 10n + -9n = 9n + -9n Combine like terms: 10n + -9n = 1n -20 + 1n = 9n + -9n Combine like terms: 9n + -9n = 0 -20 + 1n = 0 Add '20' to each side of the equation. -20 + 20 + 1n = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 1n = 0 + 20 1n = 0 + 20 Combine like terms: 0 + 20 = 20 1n = 20 Divide each side by '1'. n = 20 Simplifying n = 20
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