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Simplifying -13 = 5 + 2n + 7n Combine like terms: 2n + 7n = 9n -13 = 5 + 9n Solving -13 = 5 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -13 + -9n = 5 + 9n + -9n Combine like terms: 9n + -9n = 0 -13 + -9n = 5 + 0 -13 + -9n = 5 Add '13' to each side of the equation. -13 + 13 + -9n = 5 + 13 Combine like terms: -13 + 13 = 0 0 + -9n = 5 + 13 -9n = 5 + 13 Combine like terms: 5 + 13 = 18 -9n = 18 Divide each side by '-9'. n = -2 Simplifying n = -2
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