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Simplifying 3n + -9 = 13 + n Reorder the terms: -9 + 3n = 13 + n Solving -9 + 3n = 13 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -9 + 3n + -1n = 13 + n + -1n Combine like terms: 3n + -1n = 2n -9 + 2n = 13 + n + -1n Combine like terms: n + -1n = 0 -9 + 2n = 13 + 0 -9 + 2n = 13 Add '9' to each side of the equation. -9 + 9 + 2n = 13 + 9 Combine like terms: -9 + 9 = 0 0 + 2n = 13 + 9 2n = 13 + 9 Combine like terms: 13 + 9 = 22 2n = 22 Divide each side by '2'. n = 11 Simplifying n = 11
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