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Simplifying 5m + 8n + 10m + 6a = 0 Reorder the terms: 6a + 5m + 10m + 8n = 0 Combine like terms: 5m + 10m = 15m 6a + 15m + 8n = 0 Solving 6a + 15m + 8n = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15m' to each side of the equation. 6a + 15m + -15m + 8n = 0 + -15m Combine like terms: 15m + -15m = 0 6a + 0 + 8n = 0 + -15m 6a + 8n = 0 + -15m Remove the zero: 6a + 8n = -15m Add '-8n' to each side of the equation. 6a + 8n + -8n = -15m + -8n Combine like terms: 8n + -8n = 0 6a + 0 = -15m + -8n 6a = -15m + -8n Divide each side by '6'. a = -2.5m + -1.333333333n Simplifying a = -2.5m + -1.333333333n
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