2(2-[4(k+4)-3(k+4)])=-3k

Solution for 2(2-[4(k+4)-3(k+4)])=-3k equation:

Simplifying
2(2 + -1[4(k + 4) + -3(k + 4)]) = -3k

Reorder the terms:
2(2 + -1[4(4 + k) + -3(k + 4)]) = -3k
2(2 + -1[(4 * 4 + k * 4) + -3(k + 4)]) = -3k
2(2 + -1[(16 + 4k) + -3(k + 4)]) = -3k

Reorder the terms:
2(2 + -1[16 + 4k + -3(4 + k)]) = -3k
2(2 + -1[16 + 4k + (4 * -3 + k * -3)]) = -3k
2(2 + -1[16 + 4k + (-12 + -3k)]) = -3k

Reorder the terms:
2(2 + -1[16 + -12 + 4k + -3k]) = -3k

Combine like terms: 16 + -12 = 4
2(2 + -1[4 + 4k + -3k]) = -3k

Combine like terms: 4k + -3k = 1k
2(2 + -1[4 + 1k]) = -3k
2(2 + [4 * -1 + 1k * -1]) = -3k
2(2 + [-4 + -1k]) = -3k

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

Solving
-4 + -2k = -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
-4 + -2k + 3k = -3k + 3k

Combine like terms: -2k + 3k = 1k
-4 + 1k = -3k + 3k

Combine like terms: -3k + 3k = 0
-4 + 1k = 0

Add '4' to each side of the equation.
-4 + 4 + 1k = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 1k = 0 + 4
1k = 0 + 4

Combine like terms: 0 + 4 = 4
1k = 4

Divide each side by '1'.
k = 4

Simplifying
k = 4