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Simplifying 3(3n + -4) = (3n + 1) + 8 Reorder the terms: 3(-4 + 3n) = (3n + 1) + 8 (-4 * 3 + 3n * 3) = (3n + 1) + 8 (-12 + 9n) = (3n + 1) + 8 Reorder the terms: -12 + 9n = (1 + 3n) + 8 Remove parenthesis around (1 + 3n) -12 + 9n = 1 + 3n + 8 Reorder the terms: -12 + 9n = 1 + 8 + 3n Combine like terms: 1 + 8 = 9 -12 + 9n = 9 + 3n Solving -12 + 9n = 9 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -12 + 9n + -3n = 9 + 3n + -3n Combine like terms: 9n + -3n = 6n -12 + 6n = 9 + 3n + -3n Combine like terms: 3n + -3n = 0 -12 + 6n = 9 + 0 -12 + 6n = 9 Add '12' to each side of the equation. -12 + 12 + 6n = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 6n = 9 + 12 6n = 9 + 12 Combine like terms: 9 + 12 = 21 6n = 21 Divide each side by '6'. n = 3.5 Simplifying n = 3.5
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