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Simplifying 7(5m + 7(n + 8p)) + 2n = 0 7(5m + (n * 7 + 8p * 7)) + 2n = 0 7(5m + (7n + 56p)) + 2n = 0 (5m * 7 + 7n * 7 + 56p * 7) + 2n = 0 (35m + 49n + 392p) + 2n = 0 Reorder the terms: 35m + 49n + 2n + 392p = 0 Combine like terms: 49n + 2n = 51n 35m + 51n + 392p = 0 Solving 35m + 51n + 392p = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-51n' to each side of the equation. 35m + 51n + -51n + 392p = 0 + -51n Combine like terms: 51n + -51n = 0 35m + 0 + 392p = 0 + -51n 35m + 392p = 0 + -51n Remove the zero: 35m + 392p = -51n Add '-392p' to each side of the equation. 35m + 392p + -392p = -51n + -392p Combine like terms: 392p + -392p = 0 35m + 0 = -51n + -392p 35m = -51n + -392p Divide each side by '35'. m = -1.457142857n + -11.2p Simplifying m = -1.457142857n + -11.2p
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