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Simplifying 6(c + -3D) + -1(3c + D) = 0 Reorder the terms: 6(-3D + c) + -1(3c + D) = 0 (-3D * 6 + c * 6) + -1(3c + D) = 0 (-18D + 6c) + -1(3c + D) = 0 Reorder the terms: -18D + 6c + -1(D + 3c) = 0 -18D + 6c + (D * -1 + 3c * -1) = 0 -18D + 6c + (-1D + -3c) = 0 Reorder the terms: -18D + -1D + 6c + -3c = 0 Combine like terms: -18D + -1D = -19D -19D + 6c + -3c = 0 Combine like terms: 6c + -3c = 3c -19D + 3c = 0 Solving -19D + 3c = 0 Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '-3c' to each side of the equation. -19D + 3c + -3c = 0 + -3c Combine like terms: 3c + -3c = 0 -19D + 0 = 0 + -3c -19D = 0 + -3c Remove the zero: -19D = -3c Divide each side by '-19'. D = 0.1578947368c Simplifying D = 0.1578947368c
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