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Simplifying 10n + -11(-8n + 4) = 7(12n + -5) + 11n Reorder the terms: 10n + -11(4 + -8n) = 7(12n + -5) + 11n 10n + (4 * -11 + -8n * -11) = 7(12n + -5) + 11n 10n + (-44 + 88n) = 7(12n + -5) + 11n Reorder the terms: -44 + 10n + 88n = 7(12n + -5) + 11n Combine like terms: 10n + 88n = 98n -44 + 98n = 7(12n + -5) + 11n Reorder the terms: -44 + 98n = 7(-5 + 12n) + 11n -44 + 98n = (-5 * 7 + 12n * 7) + 11n -44 + 98n = (-35 + 84n) + 11n Combine like terms: 84n + 11n = 95n -44 + 98n = -35 + 95n Solving -44 + 98n = -35 + 95n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-95n' to each side of the equation. -44 + 98n + -95n = -35 + 95n + -95n Combine like terms: 98n + -95n = 3n -44 + 3n = -35 + 95n + -95n Combine like terms: 95n + -95n = 0 -44 + 3n = -35 + 0 -44 + 3n = -35 Add '44' to each side of the equation. -44 + 44 + 3n = -35 + 44 Combine like terms: -44 + 44 = 0 0 + 3n = -35 + 44 3n = -35 + 44 Combine like terms: -35 + 44 = 9 3n = 9 Divide each side by '3'. n = 3 Simplifying n = 3
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