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Simplifying 2(6d + 3) = 13(2m + -3) Reorder the terms: 2(3 + 6d) = 13(2m + -3) (3 * 2 + 6d * 2) = 13(2m + -3) (6 + 12d) = 13(2m + -3) Reorder the terms: 6 + 12d = 13(-3 + 2m) 6 + 12d = (-3 * 13 + 2m * 13) 6 + 12d = (-39 + 26m) Solving 6 + 12d = -39 + 26m Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 12d = -39 + -6 + 26m Combine like terms: 6 + -6 = 0 0 + 12d = -39 + -6 + 26m 12d = -39 + -6 + 26m Combine like terms: -39 + -6 = -45 12d = -45 + 26m Divide each side by '12'. d = -3.75 + 2.166666667m Simplifying d = -3.75 + 2.166666667m
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