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Simplifying 3(n + -2) + -1(6 + -7n) = 9n Reorder the terms: 3(-2 + n) + -1(6 + -7n) = 9n (-2 * 3 + n * 3) + -1(6 + -7n) = 9n (-6 + 3n) + -1(6 + -7n) = 9n -6 + 3n + (6 * -1 + -7n * -1) = 9n -6 + 3n + (-6 + 7n) = 9n Reorder the terms: -6 + -6 + 3n + 7n = 9n Combine like terms: -6 + -6 = -12 -12 + 3n + 7n = 9n Combine like terms: 3n + 7n = 10n -12 + 10n = 9n Solving -12 + 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. -12 + 10n + -9n = 9n + -9n Combine like terms: 10n + -9n = 1n -12 + 1n = 9n + -9n Combine like terms: 9n + -9n = 0 -12 + 1n = 0 Add '12' to each side of the equation. -12 + 12 + 1n = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 1n = 0 + 12 1n = 0 + 12 Combine like terms: 0 + 12 = 12 1n = 12 Divide each side by '1'. n = 12 Simplifying n = 12
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