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Simplifying -3(d + 4) + -2x = 8 Reorder the terms: -3(4 + d) + -2x = 8 (4 * -3 + d * -3) + -2x = 8 (-12 + -3d) + -2x = 8 Solving -12 + -3d + -2x = 8 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -3d + 12 + -2x = 8 + 12 Reorder the terms: -12 + 12 + -3d + -2x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -3d + -2x = 8 + 12 -3d + -2x = 8 + 12 Combine like terms: 8 + 12 = 20 -3d + -2x = 20 Add '2x' to each side of the equation. -3d + -2x + 2x = 20 + 2x Combine like terms: -2x + 2x = 0 -3d + 0 = 20 + 2x -3d = 20 + 2x Divide each side by '-3'. d = -6.666666667 + -0.6666666667x Simplifying d = -6.666666667 + -0.6666666667x
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