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Simplifying 9(6m + -5) = 6(2 + -3m) + 5 Reorder the terms: 9(-5 + 6m) = 6(2 + -3m) + 5 (-5 * 9 + 6m * 9) = 6(2 + -3m) + 5 (-45 + 54m) = 6(2 + -3m) + 5 -45 + 54m = (2 * 6 + -3m * 6) + 5 -45 + 54m = (12 + -18m) + 5 Reorder the terms: -45 + 54m = 12 + 5 + -18m Combine like terms: 12 + 5 = 17 -45 + 54m = 17 + -18m Solving -45 + 54m = 17 + -18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '18m' to each side of the equation. -45 + 54m + 18m = 17 + -18m + 18m Combine like terms: 54m + 18m = 72m -45 + 72m = 17 + -18m + 18m Combine like terms: -18m + 18m = 0 -45 + 72m = 17 + 0 -45 + 72m = 17 Add '45' to each side of the equation. -45 + 45 + 72m = 17 + 45 Combine like terms: -45 + 45 = 0 0 + 72m = 17 + 45 72m = 17 + 45 Combine like terms: 17 + 45 = 62 72m = 62 Divide each side by '72'. m = 0.8611111111 Simplifying m = 0.8611111111
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