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Simplifying 10(5m + 4) = 2(3m + -10) Reorder the terms: 10(4 + 5m) = 2(3m + -10) (4 * 10 + 5m * 10) = 2(3m + -10) (40 + 50m) = 2(3m + -10) Reorder the terms: 40 + 50m = 2(-10 + 3m) 40 + 50m = (-10 * 2 + 3m * 2) 40 + 50m = (-20 + 6m) Solving 40 + 50m = -20 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 40 + 50m + -6m = -20 + 6m + -6m Combine like terms: 50m + -6m = 44m 40 + 44m = -20 + 6m + -6m Combine like terms: 6m + -6m = 0 40 + 44m = -20 + 0 40 + 44m = -20 Add '-40' to each side of the equation. 40 + -40 + 44m = -20 + -40 Combine like terms: 40 + -40 = 0 0 + 44m = -20 + -40 44m = -20 + -40 Combine like terms: -20 + -40 = -60 44m = -60 Divide each side by '44'. m = -1.363636364 Simplifying m = -1.363636364
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