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Simplifying 5n + -9 = 1 + -2n + 5n Reorder the terms: -9 + 5n = 1 + -2n + 5n Combine like terms: -2n + 5n = 3n -9 + 5n = 1 + 3n Solving -9 + 5n = 1 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -9 + 5n + -3n = 1 + 3n + -3n Combine like terms: 5n + -3n = 2n -9 + 2n = 1 + 3n + -3n Combine like terms: 3n + -3n = 0 -9 + 2n = 1 + 0 -9 + 2n = 1 Add '9' to each side of the equation. -9 + 9 + 2n = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 2n = 1 + 9 2n = 1 + 9 Combine like terms: 1 + 9 = 10 2n = 10 Divide each side by '2'. n = 5 Simplifying n = 5
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