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Simplifying 3n(4x + 3) + 4(6x + 1) = 48 Reorder the terms: 3n(3 + 4x) + 4(6x + 1) = 48 (3 * 3n + 4x * 3n) + 4(6x + 1) = 48 (9n + 12nx) + 4(6x + 1) = 48 Reorder the terms: 9n + 12nx + 4(1 + 6x) = 48 9n + 12nx + (1 * 4 + 6x * 4) = 48 9n + 12nx + (4 + 24x) = 48 Reorder the terms: 4 + 9n + 12nx + 24x = 48 Solving 4 + 9n + 12nx + 24x = 48 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 9n + 12nx + -4 + 24x = 48 + -4 Reorder the terms: 4 + -4 + 9n + 12nx + 24x = 48 + -4 Combine like terms: 4 + -4 = 0 0 + 9n + 12nx + 24x = 48 + -4 9n + 12nx + 24x = 48 + -4 Combine like terms: 48 + -4 = 44 9n + 12nx + 24x = 44 Add '-24x' to each side of the equation. 9n + 12nx + 24x + -24x = 44 + -24x Combine like terms: 24x + -24x = 0 9n + 12nx + 0 = 44 + -24x 9n + 12nx = 44 + -24x Reorder the terms: -44 + 9n + 12nx + 24x = 44 + -24x + -44 + 24x Reorder the terms: -44 + 9n + 12nx + 24x = 44 + -44 + -24x + 24x Combine like terms: 44 + -44 = 0 -44 + 9n + 12nx + 24x = 0 + -24x + 24x -44 + 9n + 12nx + 24x = -24x + 24x Combine like terms: -24x + 24x = 0 -44 + 9n + 12nx + 24x = 0 The solution to this equation could not be determined.
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