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Simplifying -4(n + -5) = -24 + 7n Reorder the terms: -4(-5 + n) = -24 + 7n (-5 * -4 + n * -4) = -24 + 7n (20 + -4n) = -24 + 7n Solving 20 + -4n = -24 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 20 + -4n + -7n = -24 + 7n + -7n Combine like terms: -4n + -7n = -11n 20 + -11n = -24 + 7n + -7n Combine like terms: 7n + -7n = 0 20 + -11n = -24 + 0 20 + -11n = -24 Add '-20' to each side of the equation. 20 + -20 + -11n = -24 + -20 Combine like terms: 20 + -20 = 0 0 + -11n = -24 + -20 -11n = -24 + -20 Combine like terms: -24 + -20 = -44 -11n = -44 Divide each side by '-11'. n = 4 Simplifying n = 4
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