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Simplifying 3(4d + 1) + -9d = 6(-2m + 5) + -4 Reorder the terms: 3(1 + 4d) + -9d = 6(-2m + 5) + -4 (1 * 3 + 4d * 3) + -9d = 6(-2m + 5) + -4 (3 + 12d) + -9d = 6(-2m + 5) + -4 Combine like terms: 12d + -9d = 3d 3 + 3d = 6(-2m + 5) + -4 Reorder the terms: 3 + 3d = 6(5 + -2m) + -4 3 + 3d = (5 * 6 + -2m * 6) + -4 3 + 3d = (30 + -12m) + -4 Reorder the terms: 3 + 3d = 30 + -4 + -12m Combine like terms: 30 + -4 = 26 3 + 3d = 26 + -12m Solving 3 + 3d = 26 + -12m Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3d = 26 + -3 + -12m Combine like terms: 3 + -3 = 0 0 + 3d = 26 + -3 + -12m 3d = 26 + -3 + -12m Combine like terms: 26 + -3 = 23 3d = 23 + -12m Divide each side by '3'. d = 7.666666667 + -4m Simplifying d = 7.666666667 + -4m
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