6*7=9*(b-1)

Solution for 6*7=9*(b-1) equation:

Simplifying
6 * 7 = 9(b + -1)

Multiply 6 * 7
42 = 9(b + -1)

Reorder the terms:
42 = 9(-1 + b)
42 = (-1 * 9 + b * 9)
42 = (-9 + 9b)

Solving
42 = -9 + 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.
42 + -9b = -9 + 9b + -9b

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

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

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

Combine like terms: -9 + -42 = -51
-9b = -51

Divide each side by '-9'.
b = 5.666666667

Simplifying
b = 5.666666667