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Simplifying 4(3D + -5) + (-2)(d + 2) = 0 Reorder the terms: 4(-5 + 3D) + (-2)(d + 2) = 0 (-5 * 4 + 3D * 4) + (-2)(d + 2) = 0 (-20 + 12D) + (-2)(d + 2) = 0 Reorder the terms: -20 + 12D + -2(2 + d) = 0 -20 + 12D + (2 * -2 + d * -2) = 0 -20 + 12D + (-4 + -2d) = 0 Reorder the terms: -20 + -4 + 12D + -2d = 0 Combine like terms: -20 + -4 = -24 -24 + 12D + -2d = 0 Solving -24 + 12D + -2d = 0 Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 12D + 24 + -2d = 0 + 24 Reorder the terms: -24 + 24 + 12D + -2d = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 12D + -2d = 0 + 24 12D + -2d = 0 + 24 Combine like terms: 0 + 24 = 24 12D + -2d = 24 Add '2d' to each side of the equation. 12D + -2d + 2d = 24 + 2d Combine like terms: -2d + 2d = 0 12D + 0 = 24 + 2d 12D = 24 + 2d Divide each side by '12'. D = 2 + 0.1666666667d Simplifying D = 2 + 0.1666666667d
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