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Simplifying (2x + -7)(n + -3) = 6 Reorder the terms: (-7 + 2x)(n + -3) = 6 Reorder the terms: (-7 + 2x)(-3 + n) = 6 Multiply (-7 + 2x) * (-3 + n) (-7(-3 + n) + 2x * (-3 + n)) = 6 ((-3 * -7 + n * -7) + 2x * (-3 + n)) = 6 ((21 + -7n) + 2x * (-3 + n)) = 6 (21 + -7n + (-3 * 2x + n * 2x)) = 6 Reorder the terms: (21 + -7n + (2nx + -6x)) = 6 (21 + -7n + (2nx + -6x)) = 6 (21 + -7n + 2nx + -6x) = 6 Solving 21 + -7n + 2nx + -6x = 6 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -7n + 2nx + -21 + -6x = 6 + -21 Reorder the terms: 21 + -21 + -7n + 2nx + -6x = 6 + -21 Combine like terms: 21 + -21 = 0 0 + -7n + 2nx + -6x = 6 + -21 -7n + 2nx + -6x = 6 + -21 Combine like terms: 6 + -21 = -15 -7n + 2nx + -6x = -15 Add '6x' to each side of the equation. -7n + 2nx + -6x + 6x = -15 + 6x Combine like terms: -6x + 6x = 0 -7n + 2nx + 0 = -15 + 6x -7n + 2nx = -15 + 6x Reorder the terms: 15 + -7n + 2nx + -6x = -15 + 6x + 15 + -6x Reorder the terms: 15 + -7n + 2nx + -6x = -15 + 15 + 6x + -6x Combine like terms: -15 + 15 = 0 15 + -7n + 2nx + -6x = 0 + 6x + -6x 15 + -7n + 2nx + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 15 + -7n + 2nx + -6x = 0 The solution to this equation could not be determined.
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