6(k+1)=2(2p-7)

Solution for 6(k+1)=2(2p-7) equation:

Simplifying
6(k + 1) = 2(2p + -7)

Reorder the terms:
6(1 + k) = 2(2p + -7)
(1 * 6 + k * 6) = 2(2p + -7)
(6 + 6k) = 2(2p + -7)

Reorder the terms:
6 + 6k = 2(-7 + 2p)
6 + 6k = (-7 * 2 + 2p * 2)
6 + 6k = (-14 + 4p)

Solving
6 + 6k = -14 + 4p

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 + 6k = -14 + -6 + 4p

Combine like terms: 6 + -6 = 0
0 + 6k = -14 + -6 + 4p
6k = -14 + -6 + 4p

Combine like terms: -14 + -6 = -20
6k = -20 + 4p

Divide each side by '6'.
k = -3.333333333 + 0.6666666667p

Simplifying
k = -3.333333333 + 0.6666666667p