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Simplifying 2(6d + 3) = 18 + -1(16 + -39) Reorder the terms: 2(3 + 6d) = 18 + -1(16 + -39) (3 * 2 + 6d * 2) = 18 + -1(16 + -39) (6 + 12d) = 18 + -1(16 + -39) Combine like terms: 16 + -39 = -23 6 + 12d = 18 + -1(-23) Multiply -1 * -23 6 + 12d = 18 + 23 Combine like terms: 18 + 23 = 41 6 + 12d = 41 Solving 6 + 12d = 41 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 = 41 + -6 Combine like terms: 6 + -6 = 0 0 + 12d = 41 + -6 12d = 41 + -6 Combine like terms: 41 + -6 = 35 12d = 35 Divide each side by '12'. d = 2.916666667 Simplifying d = 2.916666667
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