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Simplifying 4n = 1 + -3(n + 5) Reorder the terms: 4n = 1 + -3(5 + n) 4n = 1 + (5 * -3 + n * -3) 4n = 1 + (-15 + -3n) Combine like terms: 1 + -15 = -14 4n = -14 + -3n Solving 4n = -14 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 4n + 3n = -14 + -3n + 3n Combine like terms: 4n + 3n = 7n 7n = -14 + -3n + 3n Combine like terms: -3n + 3n = 0 7n = -14 + 0 7n = -14 Divide each side by '7'. n = -2 Simplifying n = -2
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