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Simplifying -4(3m + -10) + -1(-7m + -6) = -74 Reorder the terms: -4(-10 + 3m) + -1(-7m + -6) = -74 (-10 * -4 + 3m * -4) + -1(-7m + -6) = -74 (40 + -12m) + -1(-7m + -6) = -74 Reorder the terms: 40 + -12m + -1(-6 + -7m) = -74 40 + -12m + (-6 * -1 + -7m * -1) = -74 40 + -12m + (6 + 7m) = -74 Reorder the terms: 40 + 6 + -12m + 7m = -74 Combine like terms: 40 + 6 = 46 46 + -12m + 7m = -74 Combine like terms: -12m + 7m = -5m 46 + -5m = -74 Solving 46 + -5m = -74 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + -5m = -74 + -46 Combine like terms: 46 + -46 = 0 0 + -5m = -74 + -46 -5m = -74 + -46 Combine like terms: -74 + -46 = -120 -5m = -120 Divide each side by '-5'. m = 24 Simplifying m = 24
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