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Simplifying 5m + 7n + -2(6m + -8n) = 0 5m + 7n + (6m * -2 + -8n * -2) = 0 5m + 7n + (-12m + 16n) = 0 Reorder the terms: 5m + -12m + 7n + 16n = 0 Combine like terms: 5m + -12m = -7m -7m + 7n + 16n = 0 Combine like terms: 7n + 16n = 23n -7m + 23n = 0 Solving -7m + 23n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-23n' to each side of the equation. -7m + 23n + -23n = 0 + -23n Combine like terms: 23n + -23n = 0 -7m + 0 = 0 + -23n -7m = 0 + -23n Remove the zero: -7m = -23n Divide each side by '-7'. m = 3.285714286n Simplifying m = 3.285714286n
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