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Simplifying (3x + -8)(2n + 7) = 0 Reorder the terms: (-8 + 3x)(2n + 7) = 0 Reorder the terms: (-8 + 3x)(7 + 2n) = 0 Multiply (-8 + 3x) * (7 + 2n) (-8(7 + 2n) + 3x * (7 + 2n)) = 0 ((7 * -8 + 2n * -8) + 3x * (7 + 2n)) = 0 ((-56 + -16n) + 3x * (7 + 2n)) = 0 (-56 + -16n + (7 * 3x + 2n * 3x)) = 0 Reorder the terms: (-56 + -16n + (6nx + 21x)) = 0 (-56 + -16n + (6nx + 21x)) = 0 (-56 + -16n + 6nx + 21x) = 0 Solving -56 + -16n + 6nx + 21x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '56' to each side of the equation. -56 + -16n + 6nx + 56 + 21x = 0 + 56 Reorder the terms: -56 + 56 + -16n + 6nx + 21x = 0 + 56 Combine like terms: -56 + 56 = 0 0 + -16n + 6nx + 21x = 0 + 56 -16n + 6nx + 21x = 0 + 56 Combine like terms: 0 + 56 = 56 -16n + 6nx + 21x = 56 Add '-21x' to each side of the equation. -16n + 6nx + 21x + -21x = 56 + -21x Combine like terms: 21x + -21x = 0 -16n + 6nx + 0 = 56 + -21x -16n + 6nx = 56 + -21x Reorder the terms: -56 + -16n + 6nx + 21x = 56 + -21x + -56 + 21x Reorder the terms: -56 + -16n + 6nx + 21x = 56 + -56 + -21x + 21x Combine like terms: 56 + -56 = 0 -56 + -16n + 6nx + 21x = 0 + -21x + 21x -56 + -16n + 6nx + 21x = -21x + 21x Combine like terms: -21x + 21x = 0 -56 + -16n + 6nx + 21x = 0 The solution to this equation could not be determined.
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