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Simplifying 6(6 + 2m) + 4(2m + 3) = 68 (6 * 6 + 2m * 6) + 4(2m + 3) = 68 (36 + 12m) + 4(2m + 3) = 68 Reorder the terms: 36 + 12m + 4(3 + 2m) = 68 36 + 12m + (3 * 4 + 2m * 4) = 68 36 + 12m + (12 + 8m) = 68 Reorder the terms: 36 + 12 + 12m + 8m = 68 Combine like terms: 36 + 12 = 48 48 + 12m + 8m = 68 Combine like terms: 12m + 8m = 20m 48 + 20m = 68 Solving 48 + 20m = 68 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 20m = 68 + -48 Combine like terms: 48 + -48 = 0 0 + 20m = 68 + -48 20m = 68 + -48 Combine like terms: 68 + -48 = 20 20m = 20 Divide each side by '20'. m = 1 Simplifying m = 1
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