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Simplifying -7(-6 + -7n) = -7(1 + -8n) (-6 * -7 + -7n * -7) = -7(1 + -8n) (42 + 49n) = -7(1 + -8n) 42 + 49n = (1 * -7 + -8n * -7) 42 + 49n = (-7 + 56n) Solving 42 + 49n = -7 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 42 + 49n + -56n = -7 + 56n + -56n Combine like terms: 49n + -56n = -7n 42 + -7n = -7 + 56n + -56n Combine like terms: 56n + -56n = 0 42 + -7n = -7 + 0 42 + -7n = -7 Add '-42' to each side of the equation. 42 + -42 + -7n = -7 + -42 Combine like terms: 42 + -42 = 0 0 + -7n = -7 + -42 -7n = -7 + -42 Combine like terms: -7 + -42 = -49 -7n = -49 Divide each side by '-7'. n = 7 Simplifying n = 7
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