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Simplifying 6(2m + 3n + -5) + 41 = 0 Reorder the terms: 6(-5 + 2m + 3n) + 41 = 0 (-5 * 6 + 2m * 6 + 3n * 6) + 41 = 0 (-30 + 12m + 18n) + 41 = 0 Reorder the terms: -30 + 41 + 12m + 18n = 0 Combine like terms: -30 + 41 = 11 11 + 12m + 18n = 0 Solving 11 + 12m + 18n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 12m + -11 + 18n = 0 + -11 Reorder the terms: 11 + -11 + 12m + 18n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 12m + 18n = 0 + -11 12m + 18n = 0 + -11 Combine like terms: 0 + -11 = -11 12m + 18n = -11 Add '-18n' to each side of the equation. 12m + 18n + -18n = -11 + -18n Combine like terms: 18n + -18n = 0 12m + 0 = -11 + -18n 12m = -11 + -18n Divide each side by '12'. m = -0.9166666667 + -1.5n Simplifying m = -0.9166666667 + -1.5n
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