-8b+4(1-4b)=100

Solution for -8b+4(1-4b)=100 equation:

Simplifying
-8b + 4(1 + -4b) = 100
-8b + (1 * 4 + -4b * 4) = 100
-8b + (4 + -16b) = 100

Reorder the terms:
4 + -8b + -16b = 100

Combine like terms: -8b + -16b = -24b
4 + -24b = 100

Solving
4 + -24b = 100

Solving for variable 'b'.

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

Add '-4' to each side of the equation.
4 + -4 + -24b = 100 + -4

Combine like terms: 4 + -4 = 0
0 + -24b = 100 + -4
-24b = 100 + -4

Combine like terms: 100 + -4 = 96
-24b = 96

Divide each side by '-24'.
b = -4

Simplifying
b = -4