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Simplifying 6m + mn + 42 + 7n = 0 Reorder the terms: 42 + 6m + mn + 7n = 0 Solving 42 + 6m + mn + 7n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 6m + mn + -42 + 7n = 0 + -42 Reorder the terms: 42 + -42 + 6m + mn + 7n = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 6m + mn + 7n = 0 + -42 6m + mn + 7n = 0 + -42 Combine like terms: 0 + -42 = -42 6m + mn + 7n = -42 Add '-7n' to each side of the equation. 6m + mn + 7n + -7n = -42 + -7n Combine like terms: 7n + -7n = 0 6m + mn + 0 = -42 + -7n 6m + mn = -42 + -7n Reorder the terms: 42 + 6m + mn + 7n = -42 + -7n + 42 + 7n Reorder the terms: 42 + 6m + mn + 7n = -42 + 42 + -7n + 7n Combine like terms: -42 + 42 = 0 42 + 6m + mn + 7n = 0 + -7n + 7n 42 + 6m + mn + 7n = -7n + 7n Combine like terms: -7n + 7n = 0 42 + 6m + mn + 7n = 0 The solution to this equation could not be determined.
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