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Simplifying 4m + -5(2m + -8) = 82 Reorder the terms: 4m + -5(-8 + 2m) = 82 4m + (-8 * -5 + 2m * -5) = 82 4m + (40 + -10m) = 82 Reorder the terms: 40 + 4m + -10m = 82 Combine like terms: 4m + -10m = -6m 40 + -6m = 82 Solving 40 + -6m = 82 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -6m = 82 + -40 Combine like terms: 40 + -40 = 0 0 + -6m = 82 + -40 -6m = 82 + -40 Combine like terms: 82 + -40 = 42 -6m = 42 Divide each side by '-6'. m = -7 Simplifying m = -7
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