(29b-1)-7(4b+1)=-5

Solution for (29b-1)-7(4b+1)=-5 equation:

Simplifying
(29b + -1) + -7(4b + 1) = -5

Reorder the terms:
(-1 + 29b) + -7(4b + 1) = -5

Remove parenthesis around (-1 + 29b)
-1 + 29b + -7(4b + 1) = -5

Reorder the terms:
-1 + 29b + -7(1 + 4b) = -5
-1 + 29b + (1 * -7 + 4b * -7) = -5
-1 + 29b + (-7 + -28b) = -5

Reorder the terms:
-1 + -7 + 29b + -28b = -5

Combine like terms: -1 + -7 = -8
-8 + 29b + -28b = -5

Combine like terms: 29b + -28b = 1b
-8 + 1b = -5

Solving
-8 + 1b = -5

Solving for variable 'b'.

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

Add '8' to each side of the equation.
-8 + 8 + 1b = -5 + 8

Combine like terms: -8 + 8 = 0
0 + 1b = -5 + 8
1b = -5 + 8

Combine like terms: -5 + 8 = 3
1b = 3

Divide each side by '1'.
b = 3

Simplifying
b = 3