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Simplifying 6m + 5(5m + -2) = -3m + 24 Reorder the terms: 6m + 5(-2 + 5m) = -3m + 24 6m + (-2 * 5 + 5m * 5) = -3m + 24 6m + (-10 + 25m) = -3m + 24 Reorder the terms: -10 + 6m + 25m = -3m + 24 Combine like terms: 6m + 25m = 31m -10 + 31m = -3m + 24 Reorder the terms: -10 + 31m = 24 + -3m Solving -10 + 31m = 24 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. -10 + 31m + 3m = 24 + -3m + 3m Combine like terms: 31m + 3m = 34m -10 + 34m = 24 + -3m + 3m Combine like terms: -3m + 3m = 0 -10 + 34m = 24 + 0 -10 + 34m = 24 Add '10' to each side of the equation. -10 + 10 + 34m = 24 + 10 Combine like terms: -10 + 10 = 0 0 + 34m = 24 + 10 34m = 24 + 10 Combine like terms: 24 + 10 = 34 34m = 34 Divide each side by '34'. m = 1 Simplifying m = 1
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