4(k+3)+2(k-3)=60

Solution for 4(k+3)+2(k-3)=60 equation:

Simplifying
4(k + 3) + 2(k + -3) = 60

Reorder the terms:
4(3 + k) + 2(k + -3) = 60
(3 * 4 + k * 4) + 2(k + -3) = 60
(12 + 4k) + 2(k + -3) = 60

Reorder the terms:
12 + 4k + 2(-3 + k) = 60
12 + 4k + (-3 * 2 + k * 2) = 60
12 + 4k + (-6 + 2k) = 60

Reorder the terms:
12 + -6 + 4k + 2k = 60

Combine like terms: 12 + -6 = 6
6 + 4k + 2k = 60

Combine like terms: 4k + 2k = 6k
6 + 6k = 60

Solving
6 + 6k = 60

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 = 60 + -6

Combine like terms: 6 + -6 = 0
0 + 6k = 60 + -6
6k = 60 + -6

Combine like terms: 60 + -6 = 54
6k = 54

Divide each side by '6'.
k = 9

Simplifying
k = 9