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Simplifying -9n + -6n = 11(1 + 3n) + -11(1 + 11n) Combine like terms: -9n + -6n = -15n -15n = 11(1 + 3n) + -11(1 + 11n) -15n = (1 * 11 + 3n * 11) + -11(1 + 11n) -15n = (11 + 33n) + -11(1 + 11n) -15n = 11 + 33n + (1 * -11 + 11n * -11) -15n = 11 + 33n + (-11 + -121n) Reorder the terms: -15n = 11 + -11 + 33n + -121n Combine like terms: 11 + -11 = 0 -15n = 0 + 33n + -121n -15n = 33n + -121n Combine like terms: 33n + -121n = -88n -15n = -88n Solving -15n = -88n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '88n' to each side of the equation. -15n + 88n = -88n + 88n Combine like terms: -15n + 88n = 73n 73n = -88n + 88n Combine like terms: -88n + 88n = 0 73n = 0 Divide each side by '73'. n = 0 Simplifying n = 0
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