2(k)+2(k+1)+2(k+2)=60

Solution for 2(k)+2(k+1)+2(k+2)=60 equation:

Simplifying
2(k) + 2(k + 1) + 2(k + 2) = 60

Reorder the terms:
2k + 2(1 + k) + 2(k + 2) = 60
2k + (1 * 2 + k * 2) + 2(k + 2) = 60
2k + (2 + 2k) + 2(k + 2) = 60

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

Reorder the terms:
2 + 4 + 2k + 2k + 2k = 60

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

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