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Simplifying 4n + 24 = -7(n + -5) Reorder the terms: 24 + 4n = -7(n + -5) Reorder the terms: 24 + 4n = -7(-5 + n) 24 + 4n = (-5 * -7 + n * -7) 24 + 4n = (35 + -7n) Solving 24 + 4n = 35 + -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. 24 + 4n + 7n = 35 + -7n + 7n Combine like terms: 4n + 7n = 11n 24 + 11n = 35 + -7n + 7n Combine like terms: -7n + 7n = 0 24 + 11n = 35 + 0 24 + 11n = 35 Add '-24' to each side of the equation. 24 + -24 + 11n = 35 + -24 Combine like terms: 24 + -24 = 0 0 + 11n = 35 + -24 11n = 35 + -24 Combine like terms: 35 + -24 = 11 11n = 11 Divide each side by '11'. n = 1 Simplifying n = 1
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