-2(k+6)-(-3k-5)=1

Solution for -2(k+6)-(-3k-5)=1 equation:

Simplifying
-2(k + 6) + -1(-3k + -5) = 1

Reorder the terms:
-2(6 + k) + -1(-3k + -5) = 1
(6 * -2 + k * -2) + -1(-3k + -5) = 1
(-12 + -2k) + -1(-3k + -5) = 1

Reorder the terms:
-12 + -2k + -1(-5 + -3k) = 1
-12 + -2k + (-5 * -1 + -3k * -1) = 1
-12 + -2k + (5 + 3k) = 1

Reorder the terms:
-12 + 5 + -2k + 3k = 1

Combine like terms: -12 + 5 = -7
-7 + -2k + 3k = 1

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

Solving
-7 + 1k = 1

Solving for variable 'k'.

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

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

Combine like terms: -7 + 7 = 0
0 + 1k = 1 + 7
1k = 1 + 7

Combine like terms: 1 + 7 = 8
1k = 8

Divide each side by '1'.
k = 8

Simplifying
k = 8