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Simplifying 7(12 + 7n) = 7(6n + -8) (12 * 7 + 7n * 7) = 7(6n + -8) (84 + 49n) = 7(6n + -8) Reorder the terms: 84 + 49n = 7(-8 + 6n) 84 + 49n = (-8 * 7 + 6n * 7) 84 + 49n = (-56 + 42n) Solving 84 + 49n = -56 + 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 + 49n + -42n = -56 + 42n + -42n Combine like terms: 49n + -42n = 7n 84 + 7n = -56 + 42n + -42n Combine like terms: 42n + -42n = 0 84 + 7n = -56 + 0 84 + 7n = -56 Add '-84' to each side of the equation. 84 + -84 + 7n = -56 + -84 Combine like terms: 84 + -84 = 0 0 + 7n = -56 + -84 7n = -56 + -84 Combine like terms: -56 + -84 = -140 7n = -140 Divide each side by '7'. n = -20 Simplifying n = -20
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