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Simplifying 5n + -1 = -2n + 13 Reorder the terms: -1 + 5n = -2n + 13 Reorder the terms: -1 + 5n = 13 + -2n Solving -1 + 5n = 13 + -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 + 5n + 2n = 13 + -2n + 2n Combine like terms: 5n + 2n = 7n -1 + 7n = 13 + -2n + 2n Combine like terms: -2n + 2n = 0 -1 + 7n = 13 + 0 -1 + 7n = 13 Add '1' to each side of the equation. -1 + 1 + 7n = 13 + 1 Combine like terms: -1 + 1 = 0 0 + 7n = 13 + 1 7n = 13 + 1 Combine like terms: 13 + 1 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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