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Simplifying 1 + 3n + -2n = 5(-3n + -3) + -8(-2 + -11n) Combine like terms: 3n + -2n = 1n 1 + 1n = 5(-3n + -3) + -8(-2 + -11n) Reorder the terms: 1 + 1n = 5(-3 + -3n) + -8(-2 + -11n) 1 + 1n = (-3 * 5 + -3n * 5) + -8(-2 + -11n) 1 + 1n = (-15 + -15n) + -8(-2 + -11n) 1 + 1n = -15 + -15n + (-2 * -8 + -11n * -8) 1 + 1n = -15 + -15n + (16 + 88n) Reorder the terms: 1 + 1n = -15 + 16 + -15n + 88n Combine like terms: -15 + 16 = 1 1 + 1n = 1 + -15n + 88n Combine like terms: -15n + 88n = 73n 1 + 1n = 1 + 73n Add '-1' to each side of the equation. 1 + -1 + 1n = 1 + -1 + 73n Combine like terms: 1 + -1 = 0 0 + 1n = 1 + -1 + 73n 1n = 1 + -1 + 73n Combine like terms: 1 + -1 = 0 1n = 0 + 73n 1n = 73n Solving 1n = 73n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-73n' to each side of the equation. 1n + -73n = 73n + -73n Combine like terms: 1n + -73n = -72n -72n = 73n + -73n Combine like terms: 73n + -73n = 0 -72n = 0 Divide each side by '-72'. n = 0 Simplifying n = 0
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