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Simplifying 6(n + -7) + -1(5 + -4n) = 9n Reorder the terms: 6(-7 + n) + -1(5 + -4n) = 9n (-7 * 6 + n * 6) + -1(5 + -4n) = 9n (-42 + 6n) + -1(5 + -4n) = 9n -42 + 6n + (5 * -1 + -4n * -1) = 9n -42 + 6n + (-5 + 4n) = 9n Reorder the terms: -42 + -5 + 6n + 4n = 9n Combine like terms: -42 + -5 = -47 -47 + 6n + 4n = 9n Combine like terms: 6n + 4n = 10n -47 + 10n = 9n Solving -47 + 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. -47 + 10n + -9n = 9n + -9n Combine like terms: 10n + -9n = 1n -47 + 1n = 9n + -9n Combine like terms: 9n + -9n = 0 -47 + 1n = 0 Add '47' to each side of the equation. -47 + 47 + 1n = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 1n = 0 + 47 1n = 0 + 47 Combine like terms: 0 + 47 = 47 1n = 47 Divide each side by '1'. n = 47 Simplifying n = 47
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