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Simplifying 7n + 12 = 5(n + 6) + -8 Reorder the terms: 12 + 7n = 5(n + 6) + -8 Reorder the terms: 12 + 7n = 5(6 + n) + -8 12 + 7n = (6 * 5 + n * 5) + -8 12 + 7n = (30 + 5n) + -8 Reorder the terms: 12 + 7n = 30 + -8 + 5n Combine like terms: 30 + -8 = 22 12 + 7n = 22 + 5n Solving 12 + 7n = 22 + 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. 12 + 7n + -5n = 22 + 5n + -5n Combine like terms: 7n + -5n = 2n 12 + 2n = 22 + 5n + -5n Combine like terms: 5n + -5n = 0 12 + 2n = 22 + 0 12 + 2n = 22 Add '-12' to each side of the equation. 12 + -12 + 2n = 22 + -12 Combine like terms: 12 + -12 = 0 0 + 2n = 22 + -12 2n = 22 + -12 Combine like terms: 22 + -12 = 10 2n = 10 Divide each side by '2'. n = 5 Simplifying n = 5
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