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Simplifying -7(n + -8) = 1 + 4n Reorder the terms: -7(-8 + n) = 1 + 4n (-8 * -7 + n * -7) = 1 + 4n (56 + -7n) = 1 + 4n Solving 56 + -7n = 1 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 56 + -7n + -4n = 1 + 4n + -4n Combine like terms: -7n + -4n = -11n 56 + -11n = 1 + 4n + -4n Combine like terms: 4n + -4n = 0 56 + -11n = 1 + 0 56 + -11n = 1 Add '-56' to each side of the equation. 56 + -56 + -11n = 1 + -56 Combine like terms: 56 + -56 = 0 0 + -11n = 1 + -56 -11n = 1 + -56 Combine like terms: 1 + -56 = -55 -11n = -55 Divide each side by '-11'. n = 5 Simplifying n = 5
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