(10b-3)-3(3b+1)=-6

Solution for (10b-3)-3(3b+1)=-6 equation:

Simplifying
(10b + -3) + -3(3b + 1) = -6

Reorder the terms:
(-3 + 10b) + -3(3b + 1) = -6

Remove parenthesis around (-3 + 10b)
-3 + 10b + -3(3b + 1) = -6

Reorder the terms:
-3 + 10b + -3(1 + 3b) = -6
-3 + 10b + (1 * -3 + 3b * -3) = -6
-3 + 10b + (-3 + -9b) = -6

Reorder the terms:
-3 + -3 + 10b + -9b = -6

Combine like terms: -3 + -3 = -6
-6 + 10b + -9b = -6

Combine like terms: 10b + -9b = 1b
-6 + 1b = -6

Add '6' to each side of the equation.
-6 + 6 + 1b = -6 + 6

Combine like terms: -6 + 6 = 0
0 + 1b = -6 + 6
1b = -6 + 6

Combine like terms: -6 + 6 = 0
1b = 0

Solving
1b = 0

Solving for variable 'b'.

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

Divide each side by '1'.
b = 0

Simplifying
b = 0