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Simplifying -7(1 + -6n) + 7(7 + -8n) = -28 (1 * -7 + -6n * -7) + 7(7 + -8n) = -28 (-7 + 42n) + 7(7 + -8n) = -28 -7 + 42n + (7 * 7 + -8n * 7) = -28 -7 + 42n + (49 + -56n) = -28 Reorder the terms: -7 + 49 + 42n + -56n = -28 Combine like terms: -7 + 49 = 42 42 + 42n + -56n = -28 Combine like terms: 42n + -56n = -14n 42 + -14n = -28 Solving 42 + -14n = -28 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -14n = -28 + -42 Combine like terms: 42 + -42 = 0 0 + -14n = -28 + -42 -14n = -28 + -42 Combine like terms: -28 + -42 = -70 -14n = -70 Divide each side by '-14'. n = 5 Simplifying n = 5
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