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3.

Solve the equation.

8d – 4d – 6d – 8 = 2d

1 answer

To solve the equation \( 8d - 4d - 6d - 8 = 2d \), start by simplifying the left side:

  1. Combine the terms involving \( d \): \[ 8d - 4d - 6d = (8 - 4 - 6)d = -2d \] So, the equation becomes: \[ -2d - 8 = 2d \]

  2. Next, add \( 2d \) to both sides to get all the \( d \) terms together: \[ -2d + 2d - 8 = 2d + 2d \] Which simplifies to: \[ -8 = 4d \]

  3. Finally, divide both sides by 4 to solve for \( d \): \[ d = \frac{-8}{4} = -2 \]

Thus, the solution to the equation is: \[ d = -2 \]