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Simplifying 31 + n = 1 + 5(7n + 6) Reorder the terms: 31 + n = 1 + 5(6 + 7n) 31 + n = 1 + (6 * 5 + 7n * 5) 31 + n = 1 + (30 + 35n) Combine like terms: 1 + 30 = 31 31 + n = 31 + 35n Add '-31' to each side of the equation. 31 + -31 + n = 31 + -31 + 35n Combine like terms: 31 + -31 = 0 0 + n = 31 + -31 + 35n n = 31 + -31 + 35n Combine like terms: 31 + -31 = 0 n = 0 + 35n n = 35n Solving n = 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. n + -35n = 35n + -35n Combine like terms: n + -35n = -34n -34n = 35n + -35n Combine like terms: 35n + -35n = 0 -34n = 0 Divide each side by '-34'. n = 0 Simplifying n = 0
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