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Simplifying -8n + 5(6n + 7) = 7(n + 2) + 6 Reorder the terms: -8n + 5(7 + 6n) = 7(n + 2) + 6 -8n + (7 * 5 + 6n * 5) = 7(n + 2) + 6 -8n + (35 + 30n) = 7(n + 2) + 6 Reorder the terms: 35 + -8n + 30n = 7(n + 2) + 6 Combine like terms: -8n + 30n = 22n 35 + 22n = 7(n + 2) + 6 Reorder the terms: 35 + 22n = 7(2 + n) + 6 35 + 22n = (2 * 7 + n * 7) + 6 35 + 22n = (14 + 7n) + 6 Reorder the terms: 35 + 22n = 14 + 6 + 7n Combine like terms: 14 + 6 = 20 35 + 22n = 20 + 7n Solving 35 + 22n = 20 + 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. 35 + 22n + -7n = 20 + 7n + -7n Combine like terms: 22n + -7n = 15n 35 + 15n = 20 + 7n + -7n Combine like terms: 7n + -7n = 0 35 + 15n = 20 + 0 35 + 15n = 20 Add '-35' to each side of the equation. 35 + -35 + 15n = 20 + -35 Combine like terms: 35 + -35 = 0 0 + 15n = 20 + -35 15n = 20 + -35 Combine like terms: 20 + -35 = -15 15n = -15 Divide each side by '15'. n = -1 Simplifying n = -1
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