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Simplifying 9 + 6x + n2 = 45 + -12x + x2 Reorder the terms: 9 + n2 + 6x = 45 + -12x + x2 Solving 9 + n2 + 6x = 45 + -12x + x2 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + n2 + -9 + 6x = 45 + -12x + -9 + x2 Reorder the terms: 9 + -9 + n2 + 6x = 45 + -12x + -9 + x2 Combine like terms: 9 + -9 = 0 0 + n2 + 6x = 45 + -12x + -9 + x2 n2 + 6x = 45 + -12x + -9 + x2 Reorder the terms: n2 + 6x = 45 + -9 + -12x + x2 Combine like terms: 45 + -9 = 36 n2 + 6x = 36 + -12x + x2 Add '-6x' to each side of the equation. n2 + 6x + -6x = 36 + -12x + -6x + x2 Combine like terms: 6x + -6x = 0 n2 + 0 = 36 + -12x + -6x + x2 n2 = 36 + -12x + -6x + x2 Combine like terms: -12x + -6x = -18x n2 = 36 + -18x + x2 Simplifying n2 = 36 + -18x + x2 Reorder the terms: -36 + n2 + 18x + -1x2 = 36 + -18x + x2 + -36 + 18x + -1x2 Reorder the terms: -36 + n2 + 18x + -1x2 = 36 + -36 + -18x + 18x + x2 + -1x2 Combine like terms: 36 + -36 = 0 -36 + n2 + 18x + -1x2 = 0 + -18x + 18x + x2 + -1x2 -36 + n2 + 18x + -1x2 = -18x + 18x + x2 + -1x2 Combine like terms: -18x + 18x = 0 -36 + n2 + 18x + -1x2 = 0 + x2 + -1x2 -36 + n2 + 18x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -36 + n2 + 18x + -1x2 = 0 The solution to this equation could not be determined.
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