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