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Simplifying 3(d + 2m) = 4(m + 12) (d * 3 + 2m * 3) = 4(m + 12) (3d + 6m) = 4(m + 12) Reorder the terms: 3d + 6m = 4(12 + m) 3d + 6m = (12 * 4 + m * 4) 3d + 6m = (48 + 4m) Solving 3d + 6m = 48 + 4m Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6m' to each side of the equation. 3d + 6m + -6m = 48 + 4m + -6m Combine like terms: 6m + -6m = 0 3d + 0 = 48 + 4m + -6m 3d = 48 + 4m + -6m Combine like terms: 4m + -6m = -2m 3d = 48 + -2m Divide each side by '3'. d = 16 + -0.6666666667m Simplifying d = 16 + -0.6666666667m
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