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Simplifying 5m + 2n + 6p + 5n + 7m = 0 Reorder the terms: 5m + 7m + 2n + 5n + 6p = 0 Combine like terms: 5m + 7m = 12m 12m + 2n + 5n + 6p = 0 Combine like terms: 2n + 5n = 7n 12m + 7n + 6p = 0 Solving 12m + 7n + 6p = 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. 12m + 7n + -7n + 6p = 0 + -7n Combine like terms: 7n + -7n = 0 12m + 0 + 6p = 0 + -7n 12m + 6p = 0 + -7n Remove the zero: 12m + 6p = -7n Add '-6p' to each side of the equation. 12m + 6p + -6p = -7n + -6p Combine like terms: 6p + -6p = 0 12m + 0 = -7n + -6p 12m = -7n + -6p Divide each side by '12'. m = -0.5833333333n + -0.5p Simplifying m = -0.5833333333n + -0.5p
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