-6+8k=4(1+4k)-6k

Solution for -6+8k=4(1+4k)-6k equation:

Simplifying
-6 + 8k = 4(1 + 4k) + -6k
-6 + 8k = (1 * 4 + 4k * 4) + -6k
-6 + 8k = (4 + 16k) + -6k

Combine like terms: 16k + -6k = 10k
-6 + 8k = 4 + 10k

Solving
-6 + 8k = 4 + 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
-6 + 8k + -10k = 4 + 10k + -10k

Combine like terms: 8k + -10k = -2k
-6 + -2k = 4 + 10k + -10k

Combine like terms: 10k + -10k = 0
-6 + -2k = 4 + 0
-6 + -2k = 4

Add '6' to each side of the equation.
-6 + 6 + -2k = 4 + 6

Combine like terms: -6 + 6 = 0
0 + -2k = 4 + 6
-2k = 4 + 6

Combine like terms: 4 + 6 = 10
-2k = 10

Divide each side by '-2'.
k = -5

Simplifying
k = -5