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Simplifying 7n = n + 6(8n + -7) Reorder the terms: 7n = n + 6(-7 + 8n) 7n = n + (-7 * 6 + 8n * 6) 7n = n + (-42 + 48n) Reorder the terms: 7n = -42 + n + 48n Combine like terms: n + 48n = 49n 7n = -42 + 49n Solving 7n = -42 + 49n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-49n' to each side of the equation. 7n + -49n = -42 + 49n + -49n Combine like terms: 7n + -49n = -42n -42n = -42 + 49n + -49n Combine like terms: 49n + -49n = 0 -42n = -42 + 0 -42n = -42 Divide each side by '-42'. n = 1 Simplifying n = 1
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