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Simplifying n + 6 = 13 + -6n Reorder the terms: 6 + n = 13 + -6n Solving 6 + n = 13 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 6 + n + 6n = 13 + -6n + 6n Combine like terms: n + 6n = 7n 6 + 7n = 13 + -6n + 6n Combine like terms: -6n + 6n = 0 6 + 7n = 13 + 0 6 + 7n = 13 Add '-6' to each side of the equation. 6 + -6 + 7n = 13 + -6 Combine like terms: 6 + -6 = 0 0 + 7n = 13 + -6 7n = 13 + -6 Combine like terms: 13 + -6 = 7 7n = 7 Divide each side by '7'. n = 1 Simplifying n = 1
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