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Simplifying -3 + (3n + 2) = -3(-3n + 9) + 2 Reorder the terms: -3 + (2 + 3n) = -3(-3n + 9) + 2 Remove parenthesis around (2 + 3n) -3 + 2 + 3n = -3(-3n + 9) + 2 Combine like terms: -3 + 2 = -1 -1 + 3n = -3(-3n + 9) + 2 Reorder the terms: -1 + 3n = -3(9 + -3n) + 2 -1 + 3n = (9 * -3 + -3n * -3) + 2 -1 + 3n = (-27 + 9n) + 2 Reorder the terms: -1 + 3n = -27 + 2 + 9n Combine like terms: -27 + 2 = -25 -1 + 3n = -25 + 9n Solving -1 + 3n = -25 + 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. -1 + 3n + -9n = -25 + 9n + -9n Combine like terms: 3n + -9n = -6n -1 + -6n = -25 + 9n + -9n Combine like terms: 9n + -9n = 0 -1 + -6n = -25 + 0 -1 + -6n = -25 Add '1' to each side of the equation. -1 + 1 + -6n = -25 + 1 Combine like terms: -1 + 1 = 0 0 + -6n = -25 + 1 -6n = -25 + 1 Combine like terms: -25 + 1 = -24 -6n = -24 Divide each side by '-6'. n = 4 Simplifying n = 4
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