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Simplifying 8.2(2m + -10) = 6.7 + 5.2 Reorder the terms: 8.2(-10 + 2m) = 6.7 + 5.2 (-10 * 8.2 + 2m * 8.2) = 6.7 + 5.2 (-82 + 16.4m) = 6.7 + 5.2 Combine like terms: 6.7 + 5.2 = 11.9 -82 + 16.4m = 11.9 Solving -82 + 16.4m = 11.9 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '82' to each side of the equation. -82 + 82 + 16.4m = 11.9 + 82 Combine like terms: -82 + 82 = 0 0 + 16.4m = 11.9 + 82 16.4m = 11.9 + 82 Combine like terms: 11.9 + 82 = 93.9 16.4m = 93.9 Divide each side by '16.4'. m = 5.725609756 Simplifying m = 5.725609756
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