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Simplifying 3(2m + 2) + 4(5m + 6) = 38 Reorder the terms: 3(2 + 2m) + 4(5m + 6) = 38 (2 * 3 + 2m * 3) + 4(5m + 6) = 38 (6 + 6m) + 4(5m + 6) = 38 Reorder the terms: 6 + 6m + 4(6 + 5m) = 38 6 + 6m + (6 * 4 + 5m * 4) = 38 6 + 6m + (24 + 20m) = 38 Reorder the terms: 6 + 24 + 6m + 20m = 38 Combine like terms: 6 + 24 = 30 30 + 6m + 20m = 38 Combine like terms: 6m + 20m = 26m 30 + 26m = 38 Solving 30 + 26m = 38 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 26m = 38 + -30 Combine like terms: 30 + -30 = 0 0 + 26m = 38 + -30 26m = 38 + -30 Combine like terms: 38 + -30 = 8 26m = 8 Divide each side by '26'. m = 0.3076923077 Simplifying m = 0.3076923077
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