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

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

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

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

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

Solving
-1 + -1k = 2 + 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.
-1 + -1k + -2k = 2 + 2k + -2k

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

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

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

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

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

Divide each side by '-3'.
k = -1

Simplifying
k = -1