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Simplifying (m + -1n + k) * m + 8n + -6k = 0 Reorder the terms: (k + m + -1n) * m + 8n + -6k = 0 Reorder the terms for easier multiplication: m(k + m + -1n) + 8n + -6k = 0 (k * m + m * m + -1n * m) + 8n + -6k = 0 Reorder the terms: (km + -1mn + m2) + 8n + -6k = 0 (km + -1mn + m2) + 8n + -6k = 0 Reorder the terms: -6k + km + -1mn + m2 + 8n = 0 Solving -6k + km + -1mn + m2 + 8n = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'mn' to each side of the equation. -6k + km + -1mn + m2 + mn + 8n = 0 + mn Reorder the terms: -6k + km + -1mn + mn + m2 + 8n = 0 + mn Combine like terms: -1mn + mn = 0 -6k + km + 0 + m2 + 8n = 0 + mn -6k + km + m2 + 8n = 0 + mn Remove the zero: -6k + km + m2 + 8n = mn Add '-1m2' to each side of the equation. -6k + km + m2 + -1m2 + 8n = mn + -1m2 Combine like terms: m2 + -1m2 = 0 -6k + km + 0 + 8n = mn + -1m2 -6k + km + 8n = mn + -1m2 Add '-8n' to each side of the equation. -6k + km + 8n + -8n = mn + -1m2 + -8n Combine like terms: 8n + -8n = 0 -6k + km + 0 = mn + -1m2 + -8n -6k + km = mn + -1m2 + -8n Reorder the terms: -6k + km + -1mn + m2 + 8n = mn + -1mn + -1m2 + m2 + -8n + 8n Combine like terms: mn + -1mn = 0 -6k + km + -1mn + m2 + 8n = 0 + -1m2 + m2 + -8n + 8n -6k + km + -1mn + m2 + 8n = -1m2 + m2 + -8n + 8n Combine like terms: -1m2 + m2 = 0 -6k + km + -1mn + m2 + 8n = 0 + -8n + 8n -6k + km + -1mn + m2 + 8n = -8n + 8n Combine like terms: -8n + 8n = 0 -6k + km + -1mn + m2 + 8n = 0 The solution to this equation could not be determined.
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