6(7-b)=3b-3

Solution for 6(7-b)=3b-3 equation:

Simplifying
6(7 + -1b) = 3b + -3
(7 * 6 + -1b * 6) = 3b + -3
(42 + -6b) = 3b + -3

Reorder the terms:
42 + -6b = -3 + 3b

Solving
42 + -6b = -3 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
42 + -6b + -3b = -3 + 3b + -3b

Combine like terms: -6b + -3b = -9b
42 + -9b = -3 + 3b + -3b

Combine like terms: 3b + -3b = 0
42 + -9b = -3 + 0
42 + -9b = -3

Add '-42' to each side of the equation.
42 + -42 + -9b = -3 + -42

Combine like terms: 42 + -42 = 0
0 + -9b = -3 + -42
-9b = -3 + -42

Combine like terms: -3 + -42 = -45
-9b = -45

Divide each side by '-9'.
b = 5

Simplifying
b = 5