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Simplifying 7(m + -1n) + p(m + -1n) = 0 (m * 7 + -1n * 7) + p(m + -1n) = 0 (7m + -7n) + p(m + -1n) = 0 7m + -7n + (m * p + -1n * p) = 0 7m + -7n + (mp + -1np) = 0 Reorder the terms: 7m + mp + -7n + -1np = 0 Solving 7m + mp + -7n + -1np = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7n' to each side of the equation. 7m + mp + -7n + 7n + -1np = 0 + 7n Combine like terms: -7n + 7n = 0 7m + mp + 0 + -1np = 0 + 7n 7m + mp + -1np = 0 + 7n Remove the zero: 7m + mp + -1np = 7n Add 'np' to each side of the equation. 7m + mp + -1np + np = 7n + np Combine like terms: -1np + np = 0 7m + mp + 0 = 7n + np 7m + mp = 7n + np Reorder the terms: 7m + mp + -7n + -1np = 7n + -7n + np + -1np Combine like terms: 7n + -7n = 0 7m + mp + -7n + -1np = 0 + np + -1np 7m + mp + -7n + -1np = np + -1np Combine like terms: np + -1np = 0 7m + mp + -7n + -1np = 0 The solution to this equation could not be determined.
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