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Simplifying 6(5n + -11) + 11(6 + 12n) = -1n + 2n Reorder the terms: 6(-11 + 5n) + 11(6 + 12n) = -1n + 2n (-11 * 6 + 5n * 6) + 11(6 + 12n) = -1n + 2n (-66 + 30n) + 11(6 + 12n) = -1n + 2n -66 + 30n + (6 * 11 + 12n * 11) = -1n + 2n -66 + 30n + (66 + 132n) = -1n + 2n Reorder the terms: -66 + 66 + 30n + 132n = -1n + 2n Combine like terms: -66 + 66 = 0 0 + 30n + 132n = -1n + 2n 30n + 132n = -1n + 2n Combine like terms: 30n + 132n = 162n 162n = -1n + 2n Combine like terms: -1n + 2n = 1n 162n = 1n Solving 162n = 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 162n + -1n = 1n + -1n Combine like terms: 162n + -1n = 161n 161n = 1n + -1n Combine like terms: 1n + -1n = 0 161n = 0 Divide each side by '161'. n = 0 Simplifying n = 0
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