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Simplifying 2(3n + -2) = (9n + 5) + 2 Reorder the terms: 2(-2 + 3n) = (9n + 5) + 2 (-2 * 2 + 3n * 2) = (9n + 5) + 2 (-4 + 6n) = (9n + 5) + 2 Reorder the terms: -4 + 6n = (5 + 9n) + 2 Remove parenthesis around (5 + 9n) -4 + 6n = 5 + 9n + 2 Reorder the terms: -4 + 6n = 5 + 2 + 9n Combine like terms: 5 + 2 = 7 -4 + 6n = 7 + 9n Solving -4 + 6n = 7 + 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. -4 + 6n + -9n = 7 + 9n + -9n Combine like terms: 6n + -9n = -3n -4 + -3n = 7 + 9n + -9n Combine like terms: 9n + -9n = 0 -4 + -3n = 7 + 0 -4 + -3n = 7 Add '4' to each side of the equation. -4 + 4 + -3n = 7 + 4 Combine like terms: -4 + 4 = 0 0 + -3n = 7 + 4 -3n = 7 + 4 Combine like terms: 7 + 4 = 11 -3n = 11 Divide each side by '-3'. n = -3.666666667 Simplifying n = -3.666666667
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