-b+6(4b-1)=178

Solution for -b+6(4b-1)=178 equation:

Simplifying
-1b + 6(4b + -1) = 178

Reorder the terms:
-1b + 6(-1 + 4b) = 178
-1b + (-1 * 6 + 4b * 6) = 178
-1b + (-6 + 24b) = 178

Reorder the terms:
-6 + -1b + 24b = 178

Combine like terms: -1b + 24b = 23b
-6 + 23b = 178

Solving
-6 + 23b = 178

Solving for variable 'b'.

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

Add '6' to each side of the equation.
-6 + 6 + 23b = 178 + 6

Combine like terms: -6 + 6 = 0
0 + 23b = 178 + 6
23b = 178 + 6

Combine like terms: 178 + 6 = 184
23b = 184

Divide each side by '23'.
b = 8

Simplifying
b = 8