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Simplifying 6n + 3 + n = 5n + -7 Reorder the terms: 3 + 6n + n = 5n + -7 Combine like terms: 6n + n = 7n 3 + 7n = 5n + -7 Reorder the terms: 3 + 7n = -7 + 5n Solving 3 + 7n = -7 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 3 + 7n + -5n = -7 + 5n + -5n Combine like terms: 7n + -5n = 2n 3 + 2n = -7 + 5n + -5n Combine like terms: 5n + -5n = 0 3 + 2n = -7 + 0 3 + 2n = -7 Add '-3' to each side of the equation. 3 + -3 + 2n = -7 + -3 Combine like terms: 3 + -3 = 0 0 + 2n = -7 + -3 2n = -7 + -3 Combine like terms: -7 + -3 = -10 2n = -10 Divide each side by '2'. n = -5 Simplifying n = -5
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