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Simplifying 20 + 5n = 6n + -3(n + -4) Reorder the terms: 20 + 5n = 6n + -3(-4 + n) 20 + 5n = 6n + (-4 * -3 + n * -3) 20 + 5n = 6n + (12 + -3n) Reorder the terms: 20 + 5n = 12 + 6n + -3n Combine like terms: 6n + -3n = 3n 20 + 5n = 12 + 3n Solving 20 + 5n = 12 + 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. 20 + 5n + -3n = 12 + 3n + -3n Combine like terms: 5n + -3n = 2n 20 + 2n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 20 + 2n = 12 + 0 20 + 2n = 12 Add '-20' to each side of the equation. 20 + -20 + 2n = 12 + -20 Combine like terms: 20 + -20 = 0 0 + 2n = 12 + -20 2n = 12 + -20 Combine like terms: 12 + -20 = -8 2n = -8 Divide each side by '2'. n = -4 Simplifying n = -4
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