4(k+2)+2(k-1)=30

Solution for 4(k+2)+2(k-1)=30 equation:

Simplifying
4(k + 2) + 2(k + -1) = 30

Reorder the terms:
4(2 + k) + 2(k + -1) = 30
(2 * 4 + k * 4) + 2(k + -1) = 30
(8 + 4k) + 2(k + -1) = 30

Reorder the terms:
8 + 4k + 2(-1 + k) = 30
8 + 4k + (-1 * 2 + k * 2) = 30
8 + 4k + (-2 + 2k) = 30

Reorder the terms:
8 + -2 + 4k + 2k = 30

Combine like terms: 8 + -2 = 6
6 + 4k + 2k = 30

Combine like terms: 4k + 2k = 6k
6 + 6k = 30

Solving
6 + 6k = 30

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 = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 6k = 30 + -6
6k = 30 + -6

Combine like terms: 30 + -6 = 24
6k = 24

Divide each side by '6'.
k = 4

Simplifying
k = 4