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Simplifying 5n + 13 = 1 + -1n Reorder the terms: 13 + 5n = 1 + -1n Solving 13 + 5n = 1 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 13 + 5n + n = 1 + -1n + n Combine like terms: 5n + n = 6n 13 + 6n = 1 + -1n + n Combine like terms: -1n + n = 0 13 + 6n = 1 + 0 13 + 6n = 1 Add '-13' to each side of the equation. 13 + -13 + 6n = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 6n = 1 + -13 6n = 1 + -13 Combine like terms: 1 + -13 = -12 6n = -12 Divide each side by '6'. n = -2 Simplifying n = -2
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