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Simplifying 32n + 11 + -28n = 50 + 2n + -1(-1) Reorder the terms: 11 + 32n + -28n = 50 + 2n + -1(-1) Combine like terms: 32n + -28n = 4n 11 + 4n = 50 + 2n + -1(-1) Multiply -1 * -1 11 + 4n = 50 + 2n + 1 Reorder the terms: 11 + 4n = 50 + 1 + 2n Combine like terms: 50 + 1 = 51 11 + 4n = 51 + 2n Solving 11 + 4n = 51 + 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. 11 + 4n + -2n = 51 + 2n + -2n Combine like terms: 4n + -2n = 2n 11 + 2n = 51 + 2n + -2n Combine like terms: 2n + -2n = 0 11 + 2n = 51 + 0 11 + 2n = 51 Add '-11' to each side of the equation. 11 + -11 + 2n = 51 + -11 Combine like terms: 11 + -11 = 0 0 + 2n = 51 + -11 2n = 51 + -11 Combine like terms: 51 + -11 = 40 2n = 40 Divide each side by '2'. n = 20 Simplifying n = 20
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