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Simplifying n + 7 = 14 + n + -1 + -3n Reorder the terms: 7 + n = 14 + n + -1 + -3n Reorder the terms: 7 + n = 14 + -1 + n + -3n Combine like terms: 14 + -1 = 13 7 + n = 13 + n + -3n Combine like terms: n + -3n = -2n 7 + n = 13 + -2n Solving 7 + n = 13 + -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. 7 + n + 2n = 13 + -2n + 2n Combine like terms: n + 2n = 3n 7 + 3n = 13 + -2n + 2n Combine like terms: -2n + 2n = 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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