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Simplifying 2m + -6(5 + -7m) = -382 2m + (5 * -6 + -7m * -6) = -382 2m + (-30 + 42m) = -382 Reorder the terms: -30 + 2m + 42m = -382 Combine like terms: 2m + 42m = 44m -30 + 44m = -382 Solving -30 + 44m = -382 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 44m = -382 + 30 Combine like terms: -30 + 30 = 0 0 + 44m = -382 + 30 44m = -382 + 30 Combine like terms: -382 + 30 = -352 44m = -352 Divide each side by '44'. m = -8 Simplifying m = -8
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