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Simplifying -83 = -7(n + 4) + -4n Reorder the terms: -83 = -7(4 + n) + -4n -83 = (4 * -7 + n * -7) + -4n -83 = (-28 + -7n) + -4n Combine like terms: -7n + -4n = -11n -83 = -28 + -11n Solving -83 = -28 + -11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '11n' to each side of the equation. -83 + 11n = -28 + -11n + 11n Combine like terms: -11n + 11n = 0 -83 + 11n = -28 + 0 -83 + 11n = -28 Add '83' to each side of the equation. -83 + 83 + 11n = -28 + 83 Combine like terms: -83 + 83 = 0 0 + 11n = -28 + 83 11n = -28 + 83 Combine like terms: -28 + 83 = 55 11n = 55 Divide each side by '11'. n = 5 Simplifying n = 5
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