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Simplifying -1(1 + 7n) + -4(n + 7) = 0 (1 * -1 + 7n * -1) + -4(n + 7) = 0 (-1 + -7n) + -4(n + 7) = 0 Reorder the terms: -1 + -7n + -4(7 + n) = 0 -1 + -7n + (7 * -4 + n * -4) = 0 -1 + -7n + (-28 + -4n) = 0 Reorder the terms: -1 + -28 + -7n + -4n = 0 Combine like terms: -1 + -28 = -29 -29 + -7n + -4n = 0 Combine like terms: -7n + -4n = -11n -29 + -11n = 0 Solving -29 + -11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -11n = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -11n = 0 + 29 -11n = 0 + 29 Combine like terms: 0 + 29 = 29 -11n = 29 Divide each side by '-11'. n = -2.636363636 Simplifying n = -2.636363636
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