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Simplifying 4(9d + 2v) + 3(7v + -1d) = 0 (9d * 4 + 2v * 4) + 3(7v + -1d) = 0 (36d + 8v) + 3(7v + -1d) = 0 Reorder the terms: 36d + 8v + 3(-1d + 7v) = 0 36d + 8v + (-1d * 3 + 7v * 3) = 0 36d + 8v + (-3d + 21v) = 0 Reorder the terms: 36d + -3d + 8v + 21v = 0 Combine like terms: 36d + -3d = 33d 33d + 8v + 21v = 0 Combine like terms: 8v + 21v = 29v 33d + 29v = 0 Solving 33d + 29v = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-29v' to each side of the equation. 33d + 29v + -29v = 0 + -29v Combine like terms: 29v + -29v = 0 33d + 0 = 0 + -29v 33d = 0 + -29v Remove the zero: 33d = -29v Divide each side by '33'. d = -0.8787878788v Simplifying d = -0.8787878788v
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