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Simplifying 3(3n + 4) = 8(3n + 8) + 7 Reorder the terms: 3(4 + 3n) = 8(3n + 8) + 7 (4 * 3 + 3n * 3) = 8(3n + 8) + 7 (12 + 9n) = 8(3n + 8) + 7 Reorder the terms: 12 + 9n = 8(8 + 3n) + 7 12 + 9n = (8 * 8 + 3n * 8) + 7 12 + 9n = (64 + 24n) + 7 Reorder the terms: 12 + 9n = 64 + 7 + 24n Combine like terms: 64 + 7 = 71 12 + 9n = 71 + 24n Solving 12 + 9n = 71 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 12 + 9n + -24n = 71 + 24n + -24n Combine like terms: 9n + -24n = -15n 12 + -15n = 71 + 24n + -24n Combine like terms: 24n + -24n = 0 12 + -15n = 71 + 0 12 + -15n = 71 Add '-12' to each side of the equation. 12 + -12 + -15n = 71 + -12 Combine like terms: 12 + -12 = 0 0 + -15n = 71 + -12 -15n = 71 + -12 Combine like terms: 71 + -12 = 59 -15n = 59 Divide each side by '-15'. n = -3.933333333 Simplifying n = -3.933333333
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