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Simplifying 3(2n + -2) = (9n + 4) + 2 Reorder the terms: 3(-2 + 2n) = (9n + 4) + 2 (-2 * 3 + 2n * 3) = (9n + 4) + 2 (-6 + 6n) = (9n + 4) + 2 Reorder the terms: -6 + 6n = (4 + 9n) + 2 Remove parenthesis around (4 + 9n) -6 + 6n = 4 + 9n + 2 Reorder the terms: -6 + 6n = 4 + 2 + 9n Combine like terms: 4 + 2 = 6 -6 + 6n = 6 + 9n Solving -6 + 6n = 6 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -6 + 6n + -9n = 6 + 9n + -9n Combine like terms: 6n + -9n = -3n -6 + -3n = 6 + 9n + -9n Combine like terms: 9n + -9n = 0 -6 + -3n = 6 + 0 -6 + -3n = 6 Add '6' to each side of the equation. -6 + 6 + -3n = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -3n = 6 + 6 -3n = 6 + 6 Combine like terms: 6 + 6 = 12 -3n = 12 Divide each side by '-3'. n = -4 Simplifying n = -4
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