3(3k-2)=16k-32

Solution for 3(3k-2)=16k-32 equation:

Simplifying
3(3k + -2) = 16k + -32

Reorder the terms:
3(-2 + 3k) = 16k + -32
(-2 * 3 + 3k * 3) = 16k + -32
(-6 + 9k) = 16k + -32

Reorder the terms:
-6 + 9k = -32 + 16k

Solving
-6 + 9k = -32 + 16k

Solving for variable 'k'.

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

Add '-16k' to each side of the equation.
-6 + 9k + -16k = -32 + 16k + -16k

Combine like terms: 9k + -16k = -7k
-6 + -7k = -32 + 16k + -16k

Combine like terms: 16k + -16k = 0
-6 + -7k = -32 + 0
-6 + -7k = -32

Add '6' to each side of the equation.
-6 + 6 + -7k = -32 + 6

Combine like terms: -6 + 6 = 0
0 + -7k = -32 + 6
-7k = -32 + 6

Combine like terms: -32 + 6 = -26
-7k = -26

Divide each side by '-7'.
k = 3.714285714

Simplifying
k = 3.714285714