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Simplifying 6(n + -5) + -1(2 + -4n) = 9n Reorder the terms: 6(-5 + n) + -1(2 + -4n) = 9n (-5 * 6 + n * 6) + -1(2 + -4n) = 9n (-30 + 6n) + -1(2 + -4n) = 9n -30 + 6n + (2 * -1 + -4n * -1) = 9n -30 + 6n + (-2 + 4n) = 9n Reorder the terms: -30 + -2 + 6n + 4n = 9n Combine like terms: -30 + -2 = -32 -32 + 6n + 4n = 9n Combine like terms: 6n + 4n = 10n -32 + 10n = 9n Solving -32 + 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. -32 + 10n + -9n = 9n + -9n Combine like terms: 10n + -9n = 1n -32 + 1n = 9n + -9n Combine like terms: 9n + -9n = 0 -32 + 1n = 0 Add '32' to each side of the equation. -32 + 32 + 1n = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 1n = 0 + 32 1n = 0 + 32 Combine like terms: 0 + 32 = 32 1n = 32 Divide each side by '1'. n = 32 Simplifying n = 32
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