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Simplifying 6(10 + 2n) + 12(-11n + -5) = -5n + 12n (10 * 6 + 2n * 6) + 12(-11n + -5) = -5n + 12n (60 + 12n) + 12(-11n + -5) = -5n + 12n Reorder the terms: 60 + 12n + 12(-5 + -11n) = -5n + 12n 60 + 12n + (-5 * 12 + -11n * 12) = -5n + 12n 60 + 12n + (-60 + -132n) = -5n + 12n Reorder the terms: 60 + -60 + 12n + -132n = -5n + 12n Combine like terms: 60 + -60 = 0 0 + 12n + -132n = -5n + 12n 12n + -132n = -5n + 12n Combine like terms: 12n + -132n = -120n -120n = -5n + 12n Combine like terms: -5n + 12n = 7n -120n = 7n Solving -120n = 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -120n + -7n = 7n + -7n Combine like terms: -120n + -7n = -127n -127n = 7n + -7n Combine like terms: 7n + -7n = 0 -127n = 0 Divide each side by '-127'. n = 0 Simplifying n = 0
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