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Simplifying 3(2n + -3) = (9n + 1) + 8 Reorder the terms: 3(-3 + 2n) = (9n + 1) + 8 (-3 * 3 + 2n * 3) = (9n + 1) + 8 (-9 + 6n) = (9n + 1) + 8 Reorder the terms: -9 + 6n = (1 + 9n) + 8 Remove parenthesis around (1 + 9n) -9 + 6n = 1 + 9n + 8 Reorder the terms: -9 + 6n = 1 + 8 + 9n Combine like terms: 1 + 8 = 9 -9 + 6n = 9 + 9n Solving -9 + 6n = 9 + 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. -9 + 6n + -9n = 9 + 9n + -9n Combine like terms: 6n + -9n = -3n -9 + -3n = 9 + 9n + -9n Combine like terms: 9n + -9n = 0 -9 + -3n = 9 + 0 -9 + -3n = 9 Add '9' to each side of the equation. -9 + 9 + -3n = 9 + 9 Combine like terms: -9 + 9 = 0 0 + -3n = 9 + 9 -3n = 9 + 9 Combine like terms: 9 + 9 = 18 -3n = 18 Divide each side by '-3'. n = -6 Simplifying n = -6
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