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Simplifying -3n + 4 = -5(n + -4) Reorder the terms: 4 + -3n = -5(n + -4) Reorder the terms: 4 + -3n = -5(-4 + n) 4 + -3n = (-4 * -5 + n * -5) 4 + -3n = (20 + -5n) Solving 4 + -3n = 20 + -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. 4 + -3n + 5n = 20 + -5n + 5n Combine like terms: -3n + 5n = 2n 4 + 2n = 20 + -5n + 5n Combine like terms: -5n + 5n = 0 4 + 2n = 20 + 0 4 + 2n = 20 Add '-4' to each side of the equation. 4 + -4 + 2n = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 2n = 20 + -4 2n = 20 + -4 Combine like terms: 20 + -4 = 16 2n = 16 Divide each side by '2'. n = 8 Simplifying n = 8
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