2k-3(2k-3)=55

Solution for 2k-3(2k-3)=55 equation:

Simplifying
2k + -3(2k + -3) = 55

Reorder the terms:
2k + -3(-3 + 2k) = 55
2k + (-3 * -3 + 2k * -3) = 55
2k + (9 + -6k) = 55

Reorder the terms:
9 + 2k + -6k = 55

Combine like terms: 2k + -6k = -4k
9 + -4k = 55

Solving
9 + -4k = 55

Solving for variable 'k'.

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

Add '-9' to each side of the equation.
9 + -9 + -4k = 55 + -9

Combine like terms: 9 + -9 = 0
0 + -4k = 55 + -9
-4k = 55 + -9

Combine like terms: 55 + -9 = 46
-4k = 46

Divide each side by '-4'.
k = -11.5

Simplifying
k = -11.5