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Simplifying 3(3d + 2) + 4 = 7d Reorder the terms: 3(2 + 3d) + 4 = 7d (2 * 3 + 3d * 3) + 4 = 7d (6 + 9d) + 4 = 7d Reorder the terms: 6 + 4 + 9d = 7d Combine like terms: 6 + 4 = 10 10 + 9d = 7d Solving 10 + 9d = 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 10 + 9d + -7d = 7d + -7d Combine like terms: 9d + -7d = 2d 10 + 2d = 7d + -7d Combine like terms: 7d + -7d = 0 10 + 2d = 0 Add '-10' to each side of the equation. 10 + -10 + 2d = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2d = 0 + -10 2d = 0 + -10 Combine like terms: 0 + -10 = -10 2d = -10 Divide each side by '2'. d = -5 Simplifying d = -5
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