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Simplifying 2(3n + -2) = (9n + 3) + 1 Reorder the terms: 2(-2 + 3n) = (9n + 3) + 1 (-2 * 2 + 3n * 2) = (9n + 3) + 1 (-4 + 6n) = (9n + 3) + 1 Reorder the terms: -4 + 6n = (3 + 9n) + 1 Remove parenthesis around (3 + 9n) -4 + 6n = 3 + 9n + 1 Reorder the terms: -4 + 6n = 3 + 1 + 9n Combine like terms: 3 + 1 = 4 -4 + 6n = 4 + 9n Solving -4 + 6n = 4 + 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 = 4 + 9n + -9n Combine like terms: 6n + -9n = -3n -4 + -3n = 4 + 9n + -9n Combine like terms: 9n + -9n = 0 -4 + -3n = 4 + 0 -4 + -3n = 4 Add '4' to each side of the equation. -4 + 4 + -3n = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -3n = 4 + 4 -3n = 4 + 4 Combine like terms: 4 + 4 = 8 -3n = 8 Divide each side by '-3'. n = -2.666666667 Simplifying n = -2.666666667
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