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Simplifying 3(n + -2) + 6 = 5(n + 4) Reorder the terms: 3(-2 + n) + 6 = 5(n + 4) (-2 * 3 + n * 3) + 6 = 5(n + 4) (-6 + 3n) + 6 = 5(n + 4) Reorder the terms: -6 + 6 + 3n = 5(n + 4) Combine like terms: -6 + 6 = 0 0 + 3n = 5(n + 4) 3n = 5(n + 4) Reorder the terms: 3n = 5(4 + n) 3n = (4 * 5 + n * 5) 3n = (20 + 5n) Solving 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. 3n + -5n = 20 + 5n + -5n Combine like terms: 3n + -5n = -2n -2n = 20 + 5n + -5n Combine like terms: 5n + -5n = 0 -2n = 20 + 0 -2n = 20 Divide each side by '-2'. n = -10 Simplifying n = -10
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