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Simplifying 1 + n = 7 + n + 6 + 2n Reorder the terms: 1 + n = 7 + 6 + n + 2n Combine like terms: 7 + 6 = 13 1 + n = 13 + n + 2n Combine like terms: n + 2n = 3n 1 + n = 13 + 3n Solving 1 + n = 13 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 1 + n + -3n = 13 + 3n + -3n Combine like terms: n + -3n = -2n 1 + -2n = 13 + 3n + -3n Combine like terms: 3n + -3n = 0 1 + -2n = 13 + 0 1 + -2n = 13 Add '-1' to each side of the equation. 1 + -1 + -2n = 13 + -1 Combine like terms: 1 + -1 = 0 0 + -2n = 13 + -1 -2n = 13 + -1 Combine like terms: 13 + -1 = 12 -2n = 12 Divide each side by '-2'. n = -6 Simplifying n = -6
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