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Simplifying 4(3n + 2) = 8(9n + 3) * 8 Reorder the terms: 4(2 + 3n) = 8(9n + 3) * 8 (2 * 4 + 3n * 4) = 8(9n + 3) * 8 (8 + 12n) = 8(9n + 3) * 8 Reorder the terms: 8 + 12n = 8(3 + 9n) * 8 Reorder the terms for easier multiplication: 8 + 12n = 8 * 8(3 + 9n) Multiply 8 * 8 8 + 12n = 64(3 + 9n) 8 + 12n = (3 * 64 + 9n * 64) 8 + 12n = (192 + 576n) Solving 8 + 12n = 192 + 576n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-576n' to each side of the equation. 8 + 12n + -576n = 192 + 576n + -576n Combine like terms: 12n + -576n = -564n 8 + -564n = 192 + 576n + -576n Combine like terms: 576n + -576n = 0 8 + -564n = 192 + 0 8 + -564n = 192 Add '-8' to each side of the equation. 8 + -8 + -564n = 192 + -8 Combine like terms: 8 + -8 = 0 0 + -564n = 192 + -8 -564n = 192 + -8 Combine like terms: 192 + -8 = 184 -564n = 184 Divide each side by '-564'. n = -0.3262411348 Simplifying n = -0.3262411348
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