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Simplifying 0.5(12m + -22n) = 0.5 (12m * 0.5 + -22n * 0.5) = 0.5 (6m + -11n) = 0.5 Solving 6m + -11n = 0.5 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '11n' to each side of the equation. 6m + -11n + 11n = 0.5 + 11n Combine like terms: -11n + 11n = 0 6m + 0 = 0.5 + 11n 6m = 0.5 + 11n Divide each side by '6'. m = 0.08333333333 + 1.833333333n Simplifying m = 0.08333333333 + 1.833333333n
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