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Simplifying 3(7d + 2) = 19d Reorder the terms: 3(2 + 7d) = 19d (2 * 3 + 7d * 3) = 19d (6 + 21d) = 19d Solving 6 + 21d = 19d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-19d' to each side of the equation. 6 + 21d + -19d = 19d + -19d Combine like terms: 21d + -19d = 2d 6 + 2d = 19d + -19d Combine like terms: 19d + -19d = 0 6 + 2d = 0 Add '-6' to each side of the equation. 6 + -6 + 2d = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2d = 0 + -6 2d = 0 + -6 Combine like terms: 0 + -6 = -6 2d = -6 Divide each side by '2'. d = -3 Simplifying d = -3
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