3(-k-4)+6=2+(2p+5)

Solution for 3(-k-4)+6=2+(2p+5) equation:

Simplifying
3(-1k + -4) + 6 = 2 + (2p + 5)

Reorder the terms:
3(-4 + -1k) + 6 = 2 + (2p + 5)
(-4 * 3 + -1k * 3) + 6 = 2 + (2p + 5)
(-12 + -3k) + 6 = 2 + (2p + 5)

Reorder the terms:
-12 + 6 + -3k = 2 + (2p + 5)

Combine like terms: -12 + 6 = -6
-6 + -3k = 2 + (2p + 5)

Reorder the terms:
-6 + -3k = 2 + (5 + 2p)

Remove parenthesis around (5 + 2p)
-6 + -3k = 2 + 5 + 2p

Combine like terms: 2 + 5 = 7
-6 + -3k = 7 + 2p

Solving
-6 + -3k = 7 + 2p

Solving for variable 'k'.

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

Add '6' to each side of the equation.
-6 + 6 + -3k = 7 + 6 + 2p

Combine like terms: -6 + 6 = 0
0 + -3k = 7 + 6 + 2p
-3k = 7 + 6 + 2p

Combine like terms: 7 + 6 = 13
-3k = 13 + 2p

Divide each side by '-3'.
k = -4.333333333 + -0.6666666667p

Simplifying
k = -4.333333333 + -0.6666666667p