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