-1(2k-2)=4(17k-39)

Solution for -1(2k-2)=4(17k-39) equation:

Simplifying
-1(2k + -2) = 4(17k + -39)

Reorder the terms:
-1(-2 + 2k) = 4(17k + -39)
(-2 * -1 + 2k * -1) = 4(17k + -39)
(2 + -2k) = 4(17k + -39)

Reorder the terms:
2 + -2k = 4(-39 + 17k)
2 + -2k = (-39 * 4 + 17k * 4)
2 + -2k = (-156 + 68k)

Solving
2 + -2k = -156 + 68k

Solving for variable 'k'.

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

Add '-68k' to each side of the equation.
2 + -2k + -68k = -156 + 68k + -68k

Combine like terms: -2k + -68k = -70k
2 + -70k = -156 + 68k + -68k

Combine like terms: 68k + -68k = 0
2 + -70k = -156 + 0
2 + -70k = -156

Add '-2' to each side of the equation.
2 + -2 + -70k = -156 + -2

Combine like terms: 2 + -2 = 0
0 + -70k = -156 + -2
-70k = -156 + -2

Combine like terms: -156 + -2 = -158
-70k = -158

Divide each side by '-70'.
k = 2.257142857

Simplifying
k = 2.257142857