-4(42k-18)=2(-85k+42)

Solution for -4(42k-18)=2(-85k+42) equation:

Simplifying
-4(42k + -18) = 2(-85k + 42)

Reorder the terms:
-4(-18 + 42k) = 2(-85k + 42)
(-18 * -4 + 42k * -4) = 2(-85k + 42)
(72 + -168k) = 2(-85k + 42)

Reorder the terms:
72 + -168k = 2(42 + -85k)
72 + -168k = (42 * 2 + -85k * 2)
72 + -168k = (84 + -170k)

Solving
72 + -168k = 84 + -170k

Solving for variable 'k'.

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

Add '170k' to each side of the equation.
72 + -168k + 170k = 84 + -170k + 170k

Combine like terms: -168k + 170k = 2k
72 + 2k = 84 + -170k + 170k

Combine like terms: -170k + 170k = 0
72 + 2k = 84 + 0
72 + 2k = 84

Add '-72' to each side of the equation.
72 + -72 + 2k = 84 + -72

Combine like terms: 72 + -72 = 0
0 + 2k = 84 + -72
2k = 84 + -72

Combine like terms: 84 + -72 = 12
2k = 12

Divide each side by '2'.
k = 6

Simplifying
k = 6