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Simplifying (2m + -1) * 9 + 5(5m + -3) = 0 Reorder the terms: (-1 + 2m) * 9 + 5(5m + -3) = 0 Reorder the terms for easier multiplication: 9(-1 + 2m) + 5(5m + -3) = 0 (-1 * 9 + 2m * 9) + 5(5m + -3) = 0 (-9 + 18m) + 5(5m + -3) = 0 Reorder the terms: -9 + 18m + 5(-3 + 5m) = 0 -9 + 18m + (-3 * 5 + 5m * 5) = 0 -9 + 18m + (-15 + 25m) = 0 Reorder the terms: -9 + -15 + 18m + 25m = 0 Combine like terms: -9 + -15 = -24 -24 + 18m + 25m = 0 Combine like terms: 18m + 25m = 43m -24 + 43m = 0 Solving -24 + 43m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 43m = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 43m = 0 + 24 43m = 0 + 24 Combine like terms: 0 + 24 = 24 43m = 24 Divide each side by '43'. m = 0.5581395349 Simplifying m = 0.5581395349
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