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Simplifying 4n + -26 + 27 = 2n + 17 Reorder the terms: -26 + 27 + 4n = 2n + 17 Combine like terms: -26 + 27 = 1 1 + 4n = 2n + 17 Reorder the terms: 1 + 4n = 17 + 2n Solving 1 + 4n = 17 + 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. 1 + 4n + -2n = 17 + 2n + -2n Combine like terms: 4n + -2n = 2n 1 + 2n = 17 + 2n + -2n Combine like terms: 2n + -2n = 0 1 + 2n = 17 + 0 1 + 2n = 17 Add '-1' to each side of the equation. 1 + -1 + 2n = 17 + -1 Combine like terms: 1 + -1 = 0 0 + 2n = 17 + -1 2n = 17 + -1 Combine like terms: 17 + -1 = 16 2n = 16 Divide each side by '2'. n = 8 Simplifying n = 8
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