-3k+(6-k)=4(1-2k)

Solution for -3k+(6-k)=4(1-2k) equation:

Simplifying
-3k + (6 + -1k) = 4(1 + -2k)

Remove parenthesis around (6 + -1k)
-3k + 6 + -1k = 4(1 + -2k)

Reorder the terms:
6 + -3k + -1k = 4(1 + -2k)

Combine like terms: -3k + -1k = -4k
6 + -4k = 4(1 + -2k)
6 + -4k = (1 * 4 + -2k * 4)
6 + -4k = (4 + -8k)

Solving
6 + -4k = 4 + -8k

Solving for variable 'k'.

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

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

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

Combine like terms: -8k + 8k = 0
6 + 4k = 4 + 0
6 + 4k = 4

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

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

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

Divide each side by '4'.
k = -0.5

Simplifying
k = -0.5