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Simplifying [9 + -1(m + 3n)][9 + (m + 3n)] = 0 [9 + (m * -1 + 3n * -1)][9 + (m + 3n)] = 0 [9 + (-1m + -3n)][9 + (m + 3n)] = 0 Remove parenthesis around (m + 3n) [9 + -1m + -3n][9 + m + 3n] = 0 Multiply [9 + -1m + -3n] * [9 + m + 3n] [9[9 + m + 3n] + -1m * [9 + m + 3n] + -3n * [9 + m + 3n]] = 0 [[9 * 9 + m * 9 + 3n * 9] + -1m * [9 + m + 3n] + -3n * [9 + m + 3n]] = 0 [[81 + 9m + 27n] + -1m * [9 + m + 3n] + -3n * [9 + m + 3n]] = 0 [81 + 9m + 27n + [9 * -1m + m * -1m + 3n * -1m] + -3n * [9 + m + 3n]] = 0 Reorder the terms: [81 + 9m + 27n + [-9m + -3mn + -1m2] + -3n * [9 + m + 3n]] = 0 [81 + 9m + 27n + [-9m + -3mn + -1m2] + -3n * [9 + m + 3n]] = 0 [81 + 9m + 27n + -9m + -3mn + -1m2 + [9 * -3n + m * -3n + 3n * -3n]] = 0 Reorder the terms: [81 + 9m + 27n + -9m + -3mn + -1m2 + [-3mn + -27n + -9n2]] = 0 [81 + 9m + 27n + -9m + -3mn + -1m2 + [-3mn + -27n + -9n2]] = 0 Reorder the terms: [81 + 9m + -9m + -3mn + -3mn + -1m2 + 27n + -27n + -9n2] = 0 Combine like terms: 9m + -9m = 0 [81 + 0 + -3mn + -3mn + -1m2 + 27n + -27n + -9n2] = 0 [81 + -3mn + -3mn + -1m2 + 27n + -27n + -9n2] = 0 Combine like terms: -3mn + -3mn = -6mn [81 + -6mn + -1m2 + 27n + -27n + -9n2] = 0 Combine like terms: 27n + -27n = 0 [81 + -6mn + -1m2 + 0 + -9n2] = 0 [81 + -6mn + -1m2 + -9n2] = 0 Solving 81 + -6mn + -1m2 + -9n2 = 0 Solving for variable 'm'. The solution to this equation could not be determined.
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