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Simplifying 2n + 7 = 5n + 13 Reorder the terms: 7 + 2n = 5n + 13 Reorder the terms: 7 + 2n = 13 + 5n Solving 7 + 2n = 13 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 7 + 2n + -5n = 13 + 5n + -5n Combine like terms: 2n + -5n = -3n 7 + -3n = 13 + 5n + -5n Combine like terms: 5n + -5n = 0 7 + -3n = 13 + 0 7 + -3n = 13 Add '-7' to each side of the equation. 7 + -7 + -3n = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -3n = 13 + -7 -3n = 13 + -7 Combine like terms: 13 + -7 = 6 -3n = 6 Divide each side by '-3'. n = -2 Simplifying n = -2
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