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Simplifying 4(5n + 3) = -4 + -4n Reorder the terms: 4(3 + 5n) = -4 + -4n (3 * 4 + 5n * 4) = -4 + -4n (12 + 20n) = -4 + -4n Solving 12 + 20n = -4 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 12 + 20n + 4n = -4 + -4n + 4n Combine like terms: 20n + 4n = 24n 12 + 24n = -4 + -4n + 4n Combine like terms: -4n + 4n = 0 12 + 24n = -4 + 0 12 + 24n = -4 Add '-12' to each side of the equation. 12 + -12 + 24n = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 24n = -4 + -12 24n = -4 + -12 Combine like terms: -4 + -12 = -16 24n = -16 Divide each side by '24'. n = -0.6666666667 Simplifying n = -0.6666666667
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