(25b-6)-6(4b+1)=-7

Solution for (25b-6)-6(4b+1)=-7 equation:

Simplifying
(25b + -6) + -6(4b + 1) = -7

Reorder the terms:
(-6 + 25b) + -6(4b + 1) = -7

Remove parenthesis around (-6 + 25b)
-6 + 25b + -6(4b + 1) = -7

Reorder the terms:
-6 + 25b + -6(1 + 4b) = -7
-6 + 25b + (1 * -6 + 4b * -6) = -7
-6 + 25b + (-6 + -24b) = -7

Reorder the terms:
-6 + -6 + 25b + -24b = -7

Combine like terms: -6 + -6 = -12
-12 + 25b + -24b = -7

Combine like terms: 25b + -24b = 1b
-12 + 1b = -7

Solving
-12 + 1b = -7

Solving for variable 'b'.

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

Add '12' to each side of the equation.
-12 + 12 + 1b = -7 + 12

Combine like terms: -12 + 12 = 0
0 + 1b = -7 + 12
1b = -7 + 12

Combine like terms: -7 + 12 = 5
1b = 5

Divide each side by '1'.
b = 5

Simplifying
b = 5