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Simplifying 7(n + -6) + -1(4 + -3n) = 9n Reorder the terms: 7(-6 + n) + -1(4 + -3n) = 9n (-6 * 7 + n * 7) + -1(4 + -3n) = 9n (-42 + 7n) + -1(4 + -3n) = 9n -42 + 7n + (4 * -1 + -3n * -1) = 9n -42 + 7n + (-4 + 3n) = 9n Reorder the terms: -42 + -4 + 7n + 3n = 9n Combine like terms: -42 + -4 = -46 -46 + 7n + 3n = 9n Combine like terms: 7n + 3n = 10n -46 + 10n = 9n Solving -46 + 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. -46 + 10n + -9n = 9n + -9n Combine like terms: 10n + -9n = 1n -46 + 1n = 9n + -9n Combine like terms: 9n + -9n = 0 -46 + 1n = 0 Add '46' to each side of the equation. -46 + 46 + 1n = 0 + 46 Combine like terms: -46 + 46 = 0 0 + 1n = 0 + 46 1n = 0 + 46 Combine like terms: 0 + 46 = 46 1n = 46 Divide each side by '1'. n = 46 Simplifying n = 46
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