2-8(2d-1)=42

Solution for 2-8(2d-1)=42 equation:

Simplifying
2 + -8(2d + -1) = 42

Reorder the terms:
2 + -8(-1 + 2d) = 42
2 + (-1 * -8 + 2d * -8) = 42
2 + (8 + -16d) = 42

Combine like terms: 2 + 8 = 10
10 + -16d = 42

Solving
10 + -16d = 42

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + -16d = 42 + -10

Combine like terms: 10 + -10 = 0
0 + -16d = 42 + -10
-16d = 42 + -10

Combine like terms: 42 + -10 = 32
-16d = 32

Divide each side by '-16'.
d = -2

Simplifying
d = -2