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Simplifying n + -7 + n = -13 + 5n Reorder the terms: -7 + n + n = -13 + 5n Combine like terms: n + n = 2n -7 + 2n = -13 + 5n Solving -7 + 2n = -13 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -7 + 2n + -5n = -13 + 5n + -5n Combine like terms: 2n + -5n = -3n -7 + -3n = -13 + 5n + -5n Combine like terms: 5n + -5n = 0 -7 + -3n = -13 + 0 -7 + -3n = -13 Add '7' to each side of the equation. -7 + 7 + -3n = -13 + 7 Combine like terms: -7 + 7 = 0 0 + -3n = -13 + 7 -3n = -13 + 7 Combine like terms: -13 + 7 = -6 -3n = -6 Divide each side by '-3'. n = 2 Simplifying n = 2
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