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Simplifying 10(3m + 1) = 2(10m + -5) Reorder the terms: 10(1 + 3m) = 2(10m + -5) (1 * 10 + 3m * 10) = 2(10m + -5) (10 + 30m) = 2(10m + -5) Reorder the terms: 10 + 30m = 2(-5 + 10m) 10 + 30m = (-5 * 2 + 10m * 2) 10 + 30m = (-10 + 20m) Solving 10 + 30m = -10 + 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. 10 + 30m + -20m = -10 + 20m + -20m Combine like terms: 30m + -20m = 10m 10 + 10m = -10 + 20m + -20m Combine like terms: 20m + -20m = 0 10 + 10m = -10 + 0 10 + 10m = -10 Add '-10' to each side of the equation. 10 + -10 + 10m = -10 + -10 Combine like terms: 10 + -10 = 0 0 + 10m = -10 + -10 10m = -10 + -10 Combine like terms: -10 + -10 = -20 10m = -20 Divide each side by '10'. m = -2 Simplifying m = -2
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