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

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

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

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

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

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

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

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

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

Solving
32 = 4w

Solving for variable 'w'.

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

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

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

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

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

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

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

Simplifying
w = 8