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Simplifying 6(n + -7) + -1(3 + -4n) = 9n Reorder the terms: 6(-7 + n) + -1(3 + -4n) = 9n (-7 * 6 + n * 6) + -1(3 + -4n) = 9n (-42 + 6n) + -1(3 + -4n) = 9n -42 + 6n + (3 * -1 + -4n * -1) = 9n -42 + 6n + (-3 + 4n) = 9n Reorder the terms: -42 + -3 + 6n + 4n = 9n Combine like terms: -42 + -3 = -45 -45 + 6n + 4n = 9n Combine like terms: 6n + 4n = 10n -45 + 10n = 9n Solving -45 + 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. -45 + 10n + -9n = 9n + -9n Combine like terms: 10n + -9n = 1n -45 + 1n = 9n + -9n Combine like terms: 9n + -9n = 0 -45 + 1n = 0 Add '45' to each side of the equation. -45 + 45 + 1n = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 1n = 0 + 45 1n = 0 + 45 Combine like terms: 0 + 45 = 45 1n = 45 Divide each side by '1'. n = 45 Simplifying n = 45
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