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Simplifying 9(6m + -5) = 6(2 + -3m) + 5m Reorder the terms: 9(-5 + 6m) = 6(2 + -3m) + 5m (-5 * 9 + 6m * 9) = 6(2 + -3m) + 5m (-45 + 54m) = 6(2 + -3m) + 5m -45 + 54m = (2 * 6 + -3m * 6) + 5m -45 + 54m = (12 + -18m) + 5m Combine like terms: -18m + 5m = -13m -45 + 54m = 12 + -13m Solving -45 + 54m = 12 + -13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '13m' to each side of the equation. -45 + 54m + 13m = 12 + -13m + 13m Combine like terms: 54m + 13m = 67m -45 + 67m = 12 + -13m + 13m Combine like terms: -13m + 13m = 0 -45 + 67m = 12 + 0 -45 + 67m = 12 Add '45' to each side of the equation. -45 + 45 + 67m = 12 + 45 Combine like terms: -45 + 45 = 0 0 + 67m = 12 + 45 67m = 12 + 45 Combine like terms: 12 + 45 = 57 67m = 57 Divide each side by '67'. m = 0.8507462687 Simplifying m = 0.8507462687
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