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Simplifying 3(3n + 2) = 8(4n + 2) + 4 Reorder the terms: 3(2 + 3n) = 8(4n + 2) + 4 (2 * 3 + 3n * 3) = 8(4n + 2) + 4 (6 + 9n) = 8(4n + 2) + 4 Reorder the terms: 6 + 9n = 8(2 + 4n) + 4 6 + 9n = (2 * 8 + 4n * 8) + 4 6 + 9n = (16 + 32n) + 4 Reorder the terms: 6 + 9n = 16 + 4 + 32n Combine like terms: 16 + 4 = 20 6 + 9n = 20 + 32n Solving 6 + 9n = 20 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 6 + 9n + -32n = 20 + 32n + -32n Combine like terms: 9n + -32n = -23n 6 + -23n = 20 + 32n + -32n Combine like terms: 32n + -32n = 0 6 + -23n = 20 + 0 6 + -23n = 20 Add '-6' to each side of the equation. 6 + -6 + -23n = 20 + -6 Combine like terms: 6 + -6 = 0 0 + -23n = 20 + -6 -23n = 20 + -6 Combine like terms: 20 + -6 = 14 -23n = 14 Divide each side by '-23'. n = -0.6086956522 Simplifying n = -0.6086956522
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