4-(7-k)=2(k+3)

Solution for 4-(7-k)=2(k+3) equation:

Simplifying
4 + -1(7 + -1k) = 2(k + 3)
4 + (7 * -1 + -1k * -1) = 2(k + 3)
4 + (-7 + 1k) = 2(k + 3)

Combine like terms: 4 + -7 = -3
-3 + 1k = 2(k + 3)

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

Solving
-3 + 1k = 6 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
-3 + 1k + -2k = 6 + 2k + -2k

Combine like terms: 1k + -2k = -1k
-3 + -1k = 6 + 2k + -2k

Combine like terms: 2k + -2k = 0
-3 + -1k = 6 + 0
-3 + -1k = 6

Add '3' to each side of the equation.
-3 + 3 + -1k = 6 + 3

Combine like terms: -3 + 3 = 0
0 + -1k = 6 + 3
-1k = 6 + 3

Combine like terms: 6 + 3 = 9
-1k = 9

Divide each side by '-1'.
k = -9

Simplifying
k = -9