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Simplifying 11(n + -3) + 5 = 2n + 44 Reorder the terms: 11(-3 + n) + 5 = 2n + 44 (-3 * 11 + n * 11) + 5 = 2n + 44 (-33 + 11n) + 5 = 2n + 44 Reorder the terms: -33 + 5 + 11n = 2n + 44 Combine like terms: -33 + 5 = -28 -28 + 11n = 2n + 44 Reorder the terms: -28 + 11n = 44 + 2n Solving -28 + 11n = 44 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -28 + 11n + -2n = 44 + 2n + -2n Combine like terms: 11n + -2n = 9n -28 + 9n = 44 + 2n + -2n Combine like terms: 2n + -2n = 0 -28 + 9n = 44 + 0 -28 + 9n = 44 Add '28' to each side of the equation. -28 + 28 + 9n = 44 + 28 Combine like terms: -28 + 28 = 0 0 + 9n = 44 + 28 9n = 44 + 28 Combine like terms: 44 + 28 = 72 9n = 72 Divide each side by '9'. n = 8 Simplifying n = 8
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