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