7(B-6)=9B-42

Solution for 7(B-6)=9B-42 equation:

Simplifying
7(B + -6) = 9B + -42

Reorder the terms:
7(-6 + B) = 9B + -42
(-6 * 7 + B * 7) = 9B + -42
(-42 + 7B) = 9B + -42

Reorder the terms:
-42 + 7B = -42 + 9B

Add '42' to each side of the equation.
-42 + 42 + 7B = -42 + 42 + 9B

Combine like terms: -42 + 42 = 0
0 + 7B = -42 + 42 + 9B
7B = -42 + 42 + 9B

Combine like terms: -42 + 42 = 0
7B = 0 + 9B
7B = 9B

Solving
7B = 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.
7B + -9B = 9B + -9B

Combine like terms: 7B + -9B = -2B
-2B = 9B + -9B

Combine like terms: 9B + -9B = 0
-2B = 0

Divide each side by '-2'.
B = 0

Simplifying
B = 0