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Simplifying 5n + 13 = 2(n + -7) Reorder the terms: 13 + 5n = 2(n + -7) Reorder the terms: 13 + 5n = 2(-7 + n) 13 + 5n = (-7 * 2 + n * 2) 13 + 5n = (-14 + 2n) Solving 13 + 5n = -14 + 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 = -14 + 2n + -2n Combine like terms: 5n + -2n = 3n 13 + 3n = -14 + 2n + -2n Combine like terms: 2n + -2n = 0 13 + 3n = -14 + 0 13 + 3n = -14 Add '-13' to each side of the equation. 13 + -13 + 3n = -14 + -13 Combine like terms: 13 + -13 = 0 0 + 3n = -14 + -13 3n = -14 + -13 Combine like terms: -14 + -13 = -27 3n = -27 Divide each side by '3'. n = -9 Simplifying n = -9
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