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Simplifying 10(2m + 1) = 6(3m + 4) Reorder the terms: 10(1 + 2m) = 6(3m + 4) (1 * 10 + 2m * 10) = 6(3m + 4) (10 + 20m) = 6(3m + 4) Reorder the terms: 10 + 20m = 6(4 + 3m) 10 + 20m = (4 * 6 + 3m * 6) 10 + 20m = (24 + 18m) Solving 10 + 20m = 24 + 18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18m' to each side of the equation. 10 + 20m + -18m = 24 + 18m + -18m Combine like terms: 20m + -18m = 2m 10 + 2m = 24 + 18m + -18m Combine like terms: 18m + -18m = 0 10 + 2m = 24 + 0 10 + 2m = 24 Add '-10' to each side of the equation. 10 + -10 + 2m = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 2m = 24 + -10 2m = 24 + -10 Combine like terms: 24 + -10 = 14 2m = 14 Divide each side by '2'. m = 7 Simplifying m = 7
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