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Simplifying 3(3d + -1) + 7(2d + 1) = d Reorder the terms: 3(-1 + 3d) + 7(2d + 1) = d (-1 * 3 + 3d * 3) + 7(2d + 1) = d (-3 + 9d) + 7(2d + 1) = d Reorder the terms: -3 + 9d + 7(1 + 2d) = d -3 + 9d + (1 * 7 + 2d * 7) = d -3 + 9d + (7 + 14d) = d Reorder the terms: -3 + 7 + 9d + 14d = d Combine like terms: -3 + 7 = 4 4 + 9d + 14d = d Combine like terms: 9d + 14d = 23d 4 + 23d = d Solving 4 + 23d = d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 4 + 23d + -1d = d + -1d Combine like terms: 23d + -1d = 22d 4 + 22d = d + -1d Combine like terms: d + -1d = 0 4 + 22d = 0 Add '-4' to each side of the equation. 4 + -4 + 22d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 22d = 0 + -4 22d = 0 + -4 Combine like terms: 0 + -4 = -4 22d = -4 Divide each side by '22'. d = -0.1818181818 Simplifying d = -0.1818181818
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