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

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

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

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

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

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

Solving
-3 + 3k = -6 + -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.
-3 + 3k + 4k = -6 + -4k + 4k

Combine like terms: 3k + 4k = 7k
-3 + 7k = -6 + -4k + 4k

Combine like terms: -4k + 4k = 0
-3 + 7k = -6 + 0
-3 + 7k = -6

Add '3' to each side of the equation.
-3 + 3 + 7k = -6 + 3

Combine like terms: -3 + 3 = 0
0 + 7k = -6 + 3
7k = -6 + 3

Combine like terms: -6 + 3 = -3
7k = -3

Divide each side by '7'.
k = -0.4285714286

Simplifying
k = -0.4285714286