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Simplifying 5(n + -6) + -1(2 + -7n) = 11n Reorder the terms: 5(-6 + n) + -1(2 + -7n) = 11n (-6 * 5 + n * 5) + -1(2 + -7n) = 11n (-30 + 5n) + -1(2 + -7n) = 11n -30 + 5n + (2 * -1 + -7n * -1) = 11n -30 + 5n + (-2 + 7n) = 11n Reorder the terms: -30 + -2 + 5n + 7n = 11n Combine like terms: -30 + -2 = -32 -32 + 5n + 7n = 11n Combine like terms: 5n + 7n = 12n -32 + 12n = 11n Solving -32 + 12n = 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. -32 + 12n + -11n = 11n + -11n Combine like terms: 12n + -11n = 1n -32 + 1n = 11n + -11n Combine like terms: 11n + -11n = 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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