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Simplifying 7(n + -6) + -1(2 + -3n) = 9n Reorder the terms: 7(-6 + n) + -1(2 + -3n) = 9n (-6 * 7 + n * 7) + -1(2 + -3n) = 9n (-42 + 7n) + -1(2 + -3n) = 9n -42 + 7n + (2 * -1 + -3n * -1) = 9n -42 + 7n + (-2 + 3n) = 9n Reorder the terms: -42 + -2 + 7n + 3n = 9n Combine like terms: -42 + -2 = -44 -44 + 7n + 3n = 9n Combine like terms: 7n + 3n = 10n -44 + 10n = 9n Solving -44 + 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. -44 + 10n + -9n = 9n + -9n Combine like terms: 10n + -9n = 1n -44 + 1n = 9n + -9n Combine like terms: 9n + -9n = 0 -44 + 1n = 0 Add '44' to each side of the equation. -44 + 44 + 1n = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 1n = 0 + 44 1n = 0 + 44 Combine like terms: 0 + 44 = 44 1n = 44 Divide each side by '1'. n = 44 Simplifying n = 44
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