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

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

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

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

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

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

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

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

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

Solving
32 = 4k

Solving for variable 'k'.

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

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

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

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

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

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

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

Simplifying
k = 8