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Simplifying 7(8n + 12) = 7(1 + 6n) + 7 Reorder the terms: 7(12 + 8n) = 7(1 + 6n) + 7 (12 * 7 + 8n * 7) = 7(1 + 6n) + 7 (84 + 56n) = 7(1 + 6n) + 7 84 + 56n = (1 * 7 + 6n * 7) + 7 84 + 56n = (7 + 42n) + 7 Reorder the terms: 84 + 56n = 7 + 7 + 42n Combine like terms: 7 + 7 = 14 84 + 56n = 14 + 42n Solving 84 + 56n = 14 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 84 + 56n + -42n = 14 + 42n + -42n Combine like terms: 56n + -42n = 14n 84 + 14n = 14 + 42n + -42n Combine like terms: 42n + -42n = 0 84 + 14n = 14 + 0 84 + 14n = 14 Add '-84' to each side of the equation. 84 + -84 + 14n = 14 + -84 Combine like terms: 84 + -84 = 0 0 + 14n = 14 + -84 14n = 14 + -84 Combine like terms: 14 + -84 = -70 14n = -70 Divide each side by '14'. n = -5 Simplifying n = -5
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