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Simplifying 3(4d + 1) + -9d = 6 * 2 + -1d Reorder the terms: 3(1 + 4d) + -9d = 6 * 2 + -1d (1 * 3 + 4d * 3) + -9d = 6 * 2 + -1d (3 + 12d) + -9d = 6 * 2 + -1d Combine like terms: 12d + -9d = 3d 3 + 3d = 6 * 2 + -1d Multiply 6 * 2 3 + 3d = 12 + -1d Solving 3 + 3d = 12 + -1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. 3 + 3d + d = 12 + -1d + d Combine like terms: 3d + d = 4d 3 + 4d = 12 + -1d + d Combine like terms: -1d + d = 0 3 + 4d = 12 + 0 3 + 4d = 12 Add '-3' to each side of the equation. 3 + -3 + 4d = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 4d = 12 + -3 4d = 12 + -3 Combine like terms: 12 + -3 = 9 4d = 9 Divide each side by '4'. d = 2.25 Simplifying d = 2.25
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