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Simplifying 5n + -13 = 2n + 8 Reorder the terms: -13 + 5n = 2n + 8 Reorder the terms: -13 + 5n = 8 + 2n Solving -13 + 5n = 8 + 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. -13 + 5n + -2n = 8 + 2n + -2n Combine like terms: 5n + -2n = 3n -13 + 3n = 8 + 2n + -2n Combine like terms: 2n + -2n = 0 -13 + 3n = 8 + 0 -13 + 3n = 8 Add '13' to each side of the equation. -13 + 13 + 3n = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 3n = 8 + 13 3n = 8 + 13 Combine like terms: 8 + 13 = 21 3n = 21 Divide each side by '3'. n = 7 Simplifying n = 7
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