-(-k+6)-1=-2(k-4)

Solution for -(-k+6)-1=-2(k-4) equation:

Simplifying
-1(-1k + 6) + -1 = -2(k + -4)

Reorder the terms:
-1(6 + -1k) + -1 = -2(k + -4)
(6 * -1 + -1k * -1) + -1 = -2(k + -4)
(-6 + 1k) + -1 = -2(k + -4)

Reorder the terms:
-6 + -1 + 1k = -2(k + -4)

Combine like terms: -6 + -1 = -7
-7 + 1k = -2(k + -4)

Reorder the terms:
-7 + 1k = -2(-4 + k)
-7 + 1k = (-4 * -2 + k * -2)
-7 + 1k = (8 + -2k)

Solving
-7 + 1k = 8 + -2k

Solving for variable 'k'.

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

Add '2k' to each side of the equation.
-7 + 1k + 2k = 8 + -2k + 2k

Combine like terms: 1k + 2k = 3k
-7 + 3k = 8 + -2k + 2k

Combine like terms: -2k + 2k = 0
-7 + 3k = 8 + 0
-7 + 3k = 8

Add '7' to each side of the equation.
-7 + 7 + 3k = 8 + 7

Combine like terms: -7 + 7 = 0
0 + 3k = 8 + 7
3k = 8 + 7

Combine like terms: 8 + 7 = 15
3k = 15

Divide each side by '3'.
k = 5

Simplifying
k = 5