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Simplifying -5 + 4(4n + 5) = -5(n + -3) Reorder the terms: -5 + 4(5 + 4n) = -5(n + -3) -5 + (5 * 4 + 4n * 4) = -5(n + -3) -5 + (20 + 16n) = -5(n + -3) Combine like terms: -5 + 20 = 15 15 + 16n = -5(n + -3) Reorder the terms: 15 + 16n = -5(-3 + n) 15 + 16n = (-3 * -5 + n * -5) 15 + 16n = (15 + -5n) Add '-15' to each side of the equation. 15 + -15 + 16n = 15 + -15 + -5n Combine like terms: 15 + -15 = 0 0 + 16n = 15 + -15 + -5n 16n = 15 + -15 + -5n Combine like terms: 15 + -15 = 0 16n = 0 + -5n 16n = -5n Solving 16n = -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 16n + 5n = -5n + 5n Combine like terms: 16n + 5n = 21n 21n = -5n + 5n Combine like terms: -5n + 5n = 0 21n = 0 Divide each side by '21'. n = 0 Simplifying n = 0
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