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Simplifying 2(3n + -3) = (9n + 8) + 1 Reorder the terms: 2(-3 + 3n) = (9n + 8) + 1 (-3 * 2 + 3n * 2) = (9n + 8) + 1 (-6 + 6n) = (9n + 8) + 1 Reorder the terms: -6 + 6n = (8 + 9n) + 1 Remove parenthesis around (8 + 9n) -6 + 6n = 8 + 9n + 1 Reorder the terms: -6 + 6n = 8 + 1 + 9n Combine like terms: 8 + 1 = 9 -6 + 6n = 9 + 9n Solving -6 + 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. -6 + 6n + -9n = 9 + 9n + -9n Combine like terms: 6n + -9n = -3n -6 + -3n = 9 + 9n + -9n Combine like terms: 9n + -9n = 0 -6 + -3n = 9 + 0 -6 + -3n = 9 Add '6' to each side of the equation. -6 + 6 + -3n = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -3n = 9 + 6 -3n = 9 + 6 Combine like terms: 9 + 6 = 15 -3n = 15 Divide each side by '-3'. n = -5 Simplifying n = -5
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