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Simplifying 3(2d + 1) = 4d + 19 Reorder the terms: 3(1 + 2d) = 4d + 19 (1 * 3 + 2d * 3) = 4d + 19 (3 + 6d) = 4d + 19 Reorder the terms: 3 + 6d = 19 + 4d Solving 3 + 6d = 19 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 3 + 6d + -4d = 19 + 4d + -4d Combine like terms: 6d + -4d = 2d 3 + 2d = 19 + 4d + -4d Combine like terms: 4d + -4d = 0 3 + 2d = 19 + 0 3 + 2d = 19 Add '-3' to each side of the equation. 3 + -3 + 2d = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 2d = 19 + -3 2d = 19 + -3 Combine like terms: 19 + -3 = 16 2d = 16 Divide each side by '2'. d = 8 Simplifying d = 8
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