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Simplifying 6(2m + 6) = 4(8m + 4) Reorder the terms: 6(6 + 2m) = 4(8m + 4) (6 * 6 + 2m * 6) = 4(8m + 4) (36 + 12m) = 4(8m + 4) Reorder the terms: 36 + 12m = 4(4 + 8m) 36 + 12m = (4 * 4 + 8m * 4) 36 + 12m = (16 + 32m) Solving 36 + 12m = 16 + 32m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-32m' to each side of the equation. 36 + 12m + -32m = 16 + 32m + -32m Combine like terms: 12m + -32m = -20m 36 + -20m = 16 + 32m + -32m Combine like terms: 32m + -32m = 0 36 + -20m = 16 + 0 36 + -20m = 16 Add '-36' to each side of the equation. 36 + -36 + -20m = 16 + -36 Combine like terms: 36 + -36 = 0 0 + -20m = 16 + -36 -20m = 16 + -36 Combine like terms: 16 + -36 = -20 -20m = -20 Divide each side by '-20'. m = 1 Simplifying m = 1
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