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Simplifying -6(3d + 7) + 6(D + -3) = 0 Reorder the terms: -6(7 + 3d) + 6(D + -3) = 0 (7 * -6 + 3d * -6) + 6(D + -3) = 0 (-42 + -18d) + 6(D + -3) = 0 Reorder the terms: -42 + -18d + 6(-3 + D) = 0 -42 + -18d + (-3 * 6 + D * 6) = 0 -42 + -18d + (-18 + 6D) = 0 Reorder the terms: -42 + -18 + 6D + -18d = 0 Combine like terms: -42 + -18 = -60 -60 + 6D + -18d = 0 Solving -60 + 6D + -18d = 0 Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 6D + 60 + -18d = 0 + 60 Reorder the terms: -60 + 60 + 6D + -18d = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 6D + -18d = 0 + 60 6D + -18d = 0 + 60 Combine like terms: 0 + 60 = 60 6D + -18d = 60 Add '18d' to each side of the equation. 6D + -18d + 18d = 60 + 18d Combine like terms: -18d + 18d = 0 6D + 0 = 60 + 18d 6D = 60 + 18d Divide each side by '6'. D = 10 + 3d Simplifying D = 10 + 3d
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