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Simplifying 8(d + 4) = 4(d + -8) + 4s Reorder the terms: 8(4 + d) = 4(d + -8) + 4s (4 * 8 + d * 8) = 4(d + -8) + 4s (32 + 8d) = 4(d + -8) + 4s Reorder the terms: 32 + 8d = 4(-8 + d) + 4s 32 + 8d = (-8 * 4 + d * 4) + 4s 32 + 8d = (-32 + 4d) + 4s Solving 32 + 8d = -32 + 4d + 4s Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 32 + 8d + -4d = -32 + 4d + -4d + 4s Combine like terms: 8d + -4d = 4d 32 + 4d = -32 + 4d + -4d + 4s Combine like terms: 4d + -4d = 0 32 + 4d = -32 + 0 + 4s 32 + 4d = -32 + 4s Add '-32' to each side of the equation. 32 + -32 + 4d = -32 + -32 + 4s Combine like terms: 32 + -32 = 0 0 + 4d = -32 + -32 + 4s 4d = -32 + -32 + 4s Combine like terms: -32 + -32 = -64 4d = -64 + 4s Divide each side by '4'. d = -16 + s Simplifying d = -16 + s
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