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Simplifying 6(c + -3D) + -1(3 + d) = 0 Reorder the terms: 6(-3D + c) + -1(3 + d) = 0 (-3D * 6 + c * 6) + -1(3 + d) = 0 (-18D + 6c) + -1(3 + d) = 0 -18D + 6c + (3 * -1 + d * -1) = 0 -18D + 6c + (-3 + -1d) = 0 Reorder the terms: -3 + -18D + 6c + -1d = 0 Solving -3 + -18D + 6c + -1d = 0 Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -18D + 6c + 3 + -1d = 0 + 3 Reorder the terms: -3 + 3 + -18D + 6c + -1d = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -18D + 6c + -1d = 0 + 3 -18D + 6c + -1d = 0 + 3 Combine like terms: 0 + 3 = 3 -18D + 6c + -1d = 3 Add '-6c' to each side of the equation. -18D + 6c + -6c + -1d = 3 + -6c Combine like terms: 6c + -6c = 0 -18D + 0 + -1d = 3 + -6c -18D + -1d = 3 + -6c Add 'd' to each side of the equation. -18D + -1d + d = 3 + -6c + d Combine like terms: -1d + d = 0 -18D + 0 = 3 + -6c + d -18D = 3 + -6c + d Divide each side by '-18'. D = -0.1666666667 + 0.3333333333c + -0.05555555556d Simplifying D = -0.1666666667 + 0.3333333333c + -0.05555555556d
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