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Simplifying (12x5 + 6x3 + x) + -1(x + 28)(2nx2 + 1) = n Reorder the terms: (x + 6x3 + 12x5) + -1(x + 28)(2nx2 + 1) = n Remove parenthesis around (x + 6x3 + 12x5) x + 6x3 + 12x5 + -1(x + 28)(2nx2 + 1) = n Reorder the terms: x + 6x3 + 12x5 + -1(28 + x)(2nx2 + 1) = n Reorder the terms: x + 6x3 + 12x5 + -1(28 + x)(1 + 2nx2) = n Multiply (28 + x) * (1 + 2nx2) x + 6x3 + 12x5 + -1(28(1 + 2nx2) + x(1 + 2nx2)) = n x + 6x3 + 12x5 + -1((1 * 28 + 2nx2 * 28) + x(1 + 2nx2)) = n x + 6x3 + 12x5 + -1((28 + 56nx2) + x(1 + 2nx2)) = n x + 6x3 + 12x5 + -1(28 + 56nx2 + (1 * x + 2nx2 * x)) = n Reorder the terms: x + 6x3 + 12x5 + -1(28 + 56nx2 + (2nx3 + 1x)) = n x + 6x3 + 12x5 + -1(28 + 56nx2 + (2nx3 + 1x)) = n x + 6x3 + 12x5 + -1(28 + 56nx2 + 2nx3 + 1x) = n x + 6x3 + 12x5 + (28 * -1 + 56nx2 * -1 + 2nx3 * -1 + 1x * -1) = n x + 6x3 + 12x5 + (-28 + -56nx2 + -2nx3 + -1x) = n Reorder the terms: -28 + -56nx2 + -2nx3 + x + -1x + 6x3 + 12x5 = n Combine like terms: x + -1x = 0 -28 + -56nx2 + -2nx3 + 0 + 6x3 + 12x5 = n -28 + -56nx2 + -2nx3 + 6x3 + 12x5 = n Solving -28 + -56nx2 + -2nx3 + 6x3 + 12x5 = n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -28 + -56nx2 + -2nx3 + 6x3 + -1n + 12x5 = n + -1n Reorder the terms: -28 + -1n + -56nx2 + -2nx3 + 6x3 + 12x5 = n + -1n Combine like terms: n + -1n = 0 -28 + -1n + -56nx2 + -2nx3 + 6x3 + 12x5 = 0 Add '28' to each side of the equation. -28 + -1n + -56nx2 + -2nx3 + 6x3 + 28 + 12x5 = 0 + 28 Reorder the terms: -28 + 28 + -1n + -56nx2 + -2nx3 + 6x3 + 12x5 = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -1n + -56nx2 + -2nx3 + 6x3 + 12x5 = 0 + 28 -1n + -56nx2 + -2nx3 + 6x3 + 12x5 = 0 + 28 Combine like terms: 0 + 28 = 28 -1n + -56nx2 + -2nx3 + 6x3 + 12x5 = 28 Add '-6x3' to each side of the equation. -1n + -56nx2 + -2nx3 + 6x3 + -6x3 + 12x5 = 28 + -6x3 Combine like terms: 6x3 + -6x3 = 0 -1n + -56nx2 + -2nx3 + 0 + 12x5 = 28 + -6x3 -1n + -56nx2 + -2nx3 + 12x5 = 28 + -6x3 Add '-12x5' to each side of the equation. -1n + -56nx2 + -2nx3 + 12x5 + -12x5 = 28 + -6x3 + -12x5 Combine like terms: 12x5 + -12x5 = 0 -1n + -56nx2 + -2nx3 + 0 = 28 + -6x3 + -12x5 -1n + -56nx2 + -2nx3 = 28 + -6x3 + -12x5 Reorder the terms: -28 + -1n + -56nx2 + -2nx3 + 6x3 + 12x5 = 28 + -6x3 + -12x5 + -28 + 6x3 + 12x5 Reorder the terms: -28 + -1n + -56nx2 + -2nx3 + 6x3 + 12x5 = 28 + -28 + -6x3 + 6x3 + -12x5 + 12x5 Combine like terms: 28 + -28 = 0 -28 + -1n + -56nx2 + -2nx3 + 6x3 + 12x5 = 0 + -6x3 + 6x3 + -12x5 + 12x5 -28 + -1n + -56nx2 + -2nx3 + 6x3 + 12x5 = -6x3 + 6x3 + -12x5 + 12x5 Combine like terms: -6x3 + 6x3 = 0 -28 + -1n + -56nx2 + -2nx3 + 6x3 + 12x5 = 0 + -12x5 + 12x5 -28 + -1n + -56nx2 + -2nx3 + 6x3 + 12x5 = -12x5 + 12x5 Combine like terms: -12x5 + 12x5 = 0 -28 + -1n + -56nx2 + -2nx3 + 6x3 + 12x5 = 0 The solution to this equation could not be determined.
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