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Simplifying -4(d + 3) + 2(d + 8) = 0 Reorder the terms: -4(3 + d) + 2(d + 8) = 0 (3 * -4 + d * -4) + 2(d + 8) = 0 (-12 + -4d) + 2(d + 8) = 0 Reorder the terms: -12 + -4d + 2(8 + d) = 0 -12 + -4d + (8 * 2 + d * 2) = 0 -12 + -4d + (16 + 2d) = 0 Reorder the terms: -12 + 16 + -4d + 2d = 0 Combine like terms: -12 + 16 = 4 4 + -4d + 2d = 0 Combine like terms: -4d + 2d = -2d 4 + -2d = 0 Solving 4 + -2d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -2d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2d = 0 + -4 -2d = 0 + -4 Combine like terms: 0 + -4 = -4 -2d = -4 Divide each side by '-2'. d = 2 Simplifying d = 2
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