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Simplifying 5 + -5n + 5n + 5 = 11(-3n + -4) + -4(3 + -11n) Reorder the terms: 5 + 5 + -5n + 5n = 11(-3n + -4) + -4(3 + -11n) Combine like terms: 5 + 5 = 10 10 + -5n + 5n = 11(-3n + -4) + -4(3 + -11n) Combine like terms: -5n + 5n = 0 10 + 0 = 11(-3n + -4) + -4(3 + -11n) 10 = 11(-3n + -4) + -4(3 + -11n) Reorder the terms: 10 = 11(-4 + -3n) + -4(3 + -11n) 10 = (-4 * 11 + -3n * 11) + -4(3 + -11n) 10 = (-44 + -33n) + -4(3 + -11n) 10 = -44 + -33n + (3 * -4 + -11n * -4) 10 = -44 + -33n + (-12 + 44n) Reorder the terms: 10 = -44 + -12 + -33n + 44n Combine like terms: -44 + -12 = -56 10 = -56 + -33n + 44n Combine like terms: -33n + 44n = 11n 10 = -56 + 11n Solving 10 = -56 + 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. 10 + -11n = -56 + 11n + -11n Combine like terms: 11n + -11n = 0 10 + -11n = -56 + 0 10 + -11n = -56 Add '-10' to each side of the equation. 10 + -10 + -11n = -56 + -10 Combine like terms: 10 + -10 = 0 0 + -11n = -56 + -10 -11n = -56 + -10 Combine like terms: -56 + -10 = -66 -11n = -66 Divide each side by '-11'. n = 6 Simplifying n = 6
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