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Simplifying 5(14 + 5m) = -2(10 + 10m) (14 * 5 + 5m * 5) = -2(10 + 10m) (70 + 25m) = -2(10 + 10m) 70 + 25m = (10 * -2 + 10m * -2) 70 + 25m = (-20 + -20m) Solving 70 + 25m = -20 + -20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '20m' to each side of the equation. 70 + 25m + 20m = -20 + -20m + 20m Combine like terms: 25m + 20m = 45m 70 + 45m = -20 + -20m + 20m Combine like terms: -20m + 20m = 0 70 + 45m = -20 + 0 70 + 45m = -20 Add '-70' to each side of the equation. 70 + -70 + 45m = -20 + -70 Combine like terms: 70 + -70 = 0 0 + 45m = -20 + -70 45m = -20 + -70 Combine like terms: -20 + -70 = -90 45m = -90 Divide each side by '45'. m = -2 Simplifying m = -2
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