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Simplifying 6m + 2n + 5M + 8n = 0 Reorder the terms: 5M + 6m + 2n + 8n = 0 Combine like terms: 2n + 8n = 10n 5M + 6m + 10n = 0 Solving 5M + 6m + 10n = 0 Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-6m' to each side of the equation. 5M + 6m + -6m + 10n = 0 + -6m Combine like terms: 6m + -6m = 0 5M + 0 + 10n = 0 + -6m 5M + 10n = 0 + -6m Remove the zero: 5M + 10n = -6m Add '-10n' to each side of the equation. 5M + 10n + -10n = -6m + -10n Combine like terms: 10n + -10n = 0 5M + 0 = -6m + -10n 5M = -6m + -10n Divide each side by '5'. M = -1.2m + -2n Simplifying M = -1.2m + -2n
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