k+3(k-2)=24

Solution for k+3(k-2)=24 equation:

Simplifying
k + 3(k + -2) = 24

Reorder the terms:
k + 3(-2 + k) = 24
k + (-2 * 3 + k * 3) = 24
k + (-6 + 3k) = 24

Reorder the terms:
-6 + k + 3k = 24

Combine like terms: k + 3k = 4k
-6 + 4k = 24

Solving
-6 + 4k = 24

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 + 4k = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 4k = 24 + 6
4k = 24 + 6

Combine like terms: 24 + 6 = 30
4k = 30

Divide each side by '4'.
k = 7.5

Simplifying
k = 7.5