9k+2(2-k)=3(3k-2)

Solution for 9k+2(2-k)=3(3k-2) equation:

Simplifying
9k + 2(2 + -1k) = 3(3k + -2)
9k + (2 * 2 + -1k * 2) = 3(3k + -2)
9k + (4 + -2k) = 3(3k + -2)

Reorder the terms:
4 + 9k + -2k = 3(3k + -2)

Combine like terms: 9k + -2k = 7k
4 + 7k = 3(3k + -2)

Reorder the terms:
4 + 7k = 3(-2 + 3k)
4 + 7k = (-2 * 3 + 3k * 3)
4 + 7k = (-6 + 9k)

Solving
4 + 7k = -6 + 9k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-9k' to each side of the equation.
4 + 7k + -9k = -6 + 9k + -9k

Combine like terms: 7k + -9k = -2k
4 + -2k = -6 + 9k + -9k

Combine like terms: 9k + -9k = 0
4 + -2k = -6 + 0
4 + -2k = -6

Add '-4' to each side of the equation.
4 + -4 + -2k = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -2k = -6 + -4
-2k = -6 + -4

Combine like terms: -6 + -4 = -10
-2k = -10

Divide each side by '-2'.
k = 5

Simplifying
k = 5