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Simplifying n + 7 = 1 + 3n Reorder the terms: 7 + n = 1 + 3n Solving 7 + n = 1 + 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. 7 + n + -3n = 1 + 3n + -3n Combine like terms: n + -3n = -2n 7 + -2n = 1 + 3n + -3n Combine like terms: 3n + -3n = 0 7 + -2n = 1 + 0 7 + -2n = 1 Add '-7' to each side of the equation. 7 + -7 + -2n = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -2n = 1 + -7 -2n = 1 + -7 Combine like terms: 1 + -7 = -6 -2n = -6 Divide each side by '-2'. n = 3 Simplifying n = 3
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