2(k-1)=-3(2a-1)

Solution for 2(k-1)=-3(2a-1) equation:

Simplifying
2(k + -1) = -3(2a + -1)

Reorder the terms:
2(-1 + k) = -3(2a + -1)
(-1 * 2 + k * 2) = -3(2a + -1)
(-2 + 2k) = -3(2a + -1)

Reorder the terms:
-2 + 2k = -3(-1 + 2a)
-2 + 2k = (-1 * -3 + 2a * -3)
-2 + 2k = (3 + -6a)

Solving
-2 + 2k = 3 + -6a

Solving for variable 'k'.

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

Add '2' to each side of the equation.
-2 + 2 + 2k = 3 + 2 + -6a

Combine like terms: -2 + 2 = 0
0 + 2k = 3 + 2 + -6a
2k = 3 + 2 + -6a

Combine like terms: 3 + 2 = 5
2k = 5 + -6a

Divide each side by '2'.
k = 2.5 + -3a

Simplifying
k = 2.5 + -3a