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

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

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

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

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

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

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

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

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

Solving
32 = 4m

Solving for variable 'm'.

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

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

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

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

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

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

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

Simplifying
m = 8