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Simplifying 2(3n + -5) = 3n + 8 Reorder the terms: 2(-5 + 3n) = 3n + 8 (-5 * 2 + 3n * 2) = 3n + 8 (-10 + 6n) = 3n + 8 Reorder the terms: -10 + 6n = 8 + 3n Solving -10 + 6n = 8 + 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. -10 + 6n + -3n = 8 + 3n + -3n Combine like terms: 6n + -3n = 3n -10 + 3n = 8 + 3n + -3n Combine like terms: 3n + -3n = 0 -10 + 3n = 8 + 0 -10 + 3n = 8 Add '10' to each side of the equation. -10 + 10 + 3n = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 3n = 8 + 10 3n = 8 + 10 Combine like terms: 8 + 10 = 18 3n = 18 Divide each side by '3'. n = 6 Simplifying n = 6
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