8*4=(b*7)-(b*3)

Solution for 8*4=(b*7)-(b*3) equation:

Simplifying
8 * 4 = (b * 7) + -1(b * 3)

Multiply 8 * 4
32 = (b * 7) + -1(b * 3)

Reorder the terms for easier multiplication:
32 = (7b) + -1(b * 3)

Reorder the terms for easier multiplication:
32 = (7b) + -1(3b)

Remove parenthesis around (3b)
32 = (7b) + -1 * 3b

Multiply -1 * 3
32 = (7b) + -3b

Combine like terms: (7b) + -3b = 4b
32 = 4b

Solving
32 = 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
32 + -4b = 4b + -4b

Combine like terms: 4b + -4b = 0
32 + -4b = 0

Add '-32' to each side of the equation.
32 + -32 + -4b = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -4b = 0 + -32
-4b = 0 + -32

Combine like terms: 0 + -32 = -32
-4b = -32

Divide each side by '-4'.
b = 8

Simplifying
b = 8