(7b-2)-(-3b+1)=-3(1-3b)

Solution for (7b-2)-(-3b+1)=-3(1-3b) equation:

Simplifying
(7b + -2) + -1(-3b + 1) = -3(1 + -3b)

Reorder the terms:
(-2 + 7b) + -1(-3b + 1) = -3(1 + -3b)

Remove parenthesis around (-2 + 7b)
-2 + 7b + -1(-3b + 1) = -3(1 + -3b)

Reorder the terms:
-2 + 7b + -1(1 + -3b) = -3(1 + -3b)
-2 + 7b + (1 * -1 + -3b * -1) = -3(1 + -3b)
-2 + 7b + (-1 + 3b) = -3(1 + -3b)

Reorder the terms:
-2 + -1 + 7b + 3b = -3(1 + -3b)

Combine like terms: -2 + -1 = -3
-3 + 7b + 3b = -3(1 + -3b)

Combine like terms: 7b + 3b = 10b
-3 + 10b = -3(1 + -3b)
-3 + 10b = (1 * -3 + -3b * -3)
-3 + 10b = (-3 + 9b)

Add '3' to each side of the equation.
-3 + 3 + 10b = -3 + 3 + 9b

Combine like terms: -3 + 3 = 0
0 + 10b = -3 + 3 + 9b
10b = -3 + 3 + 9b

Combine like terms: -3 + 3 = 0
10b = 0 + 9b
10b = 9b

Solving
10b = 9b

Solving for variable 'b'.

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

Add '-9b' to each side of the equation.
10b + -9b = 9b + -9b

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

Combine like terms: 9b + -9b = 0
1b = 0

Divide each side by '1'.
b = 0

Simplifying
b = 0