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Simplifying 4n + -7(1 + -2n) = 83 4n + (1 * -7 + -2n * -7) = 83 4n + (-7 + 14n) = 83 Reorder the terms: -7 + 4n + 14n = 83 Combine like terms: 4n + 14n = 18n -7 + 18n = 83 Solving -7 + 18n = 83 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 18n = 83 + 7 Combine like terms: -7 + 7 = 0 0 + 18n = 83 + 7 18n = 83 + 7 Combine like terms: 83 + 7 = 90 18n = 90 Divide each side by '18'. n = 5 Simplifying n = 5
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