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Simplifying 44 = 4(2 + 4n) + -5(n + -5) 44 = (2 * 4 + 4n * 4) + -5(n + -5) 44 = (8 + 16n) + -5(n + -5) Reorder the terms: 44 = 8 + 16n + -5(-5 + n) 44 = 8 + 16n + (-5 * -5 + n * -5) 44 = 8 + 16n + (25 + -5n) Reorder the terms: 44 = 8 + 25 + 16n + -5n Combine like terms: 8 + 25 = 33 44 = 33 + 16n + -5n Combine like terms: 16n + -5n = 11n 44 = 33 + 11n Solving 44 = 33 + 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. 44 + -11n = 33 + 11n + -11n Combine like terms: 11n + -11n = 0 44 + -11n = 33 + 0 44 + -11n = 33 Add '-44' to each side of the equation. 44 + -44 + -11n = 33 + -44 Combine like terms: 44 + -44 = 0 0 + -11n = 33 + -44 -11n = 33 + -44 Combine like terms: 33 + -44 = -11 -11n = -11 Divide each side by '-11'. n = 1 Simplifying n = 1
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