6(b-83)=42

Solution for 6(b-83)=42 equation:

Simplifying
6(b + -83) = 42

Reorder the terms:
6(-83 + b) = 42
(-83 * 6 + b * 6) = 42
(-498 + 6b) = 42

Solving
-498 + 6b = 42

Solving for variable 'b'.

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

Add '498' to each side of the equation.
-498 + 498 + 6b = 42 + 498

Combine like terms: -498 + 498 = 0
0 + 6b = 42 + 498
6b = 42 + 498

Combine like terms: 42 + 498 = 540
6b = 540

Divide each side by '6'.
b = 90

Simplifying
b = 90