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Simplifying 4n + 7(1 + 3n) = -118 4n + (1 * 7 + 3n * 7) = -118 4n + (7 + 21n) = -118 Reorder the terms: 7 + 4n + 21n = -118 Combine like terms: 4n + 21n = 25n 7 + 25n = -118 Solving 7 + 25n = -118 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 + 25n = -118 + -7 Combine like terms: 7 + -7 = 0 0 + 25n = -118 + -7 25n = -118 + -7 Combine like terms: -118 + -7 = -125 25n = -125 Divide each side by '25'. n = -5 Simplifying n = -5
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