6(k+1)-(-2k-5)=7k

Solution for 6(k+1)-(-2k-5)=7k equation:

Simplifying
6(k + 1) + -1(-2k + -5) = 7k

Reorder the terms:
6(1 + k) + -1(-2k + -5) = 7k
(1 * 6 + k * 6) + -1(-2k + -5) = 7k
(6 + 6k) + -1(-2k + -5) = 7k

Reorder the terms:
6 + 6k + -1(-5 + -2k) = 7k
6 + 6k + (-5 * -1 + -2k * -1) = 7k
6 + 6k + (5 + 2k) = 7k

Reorder the terms:
6 + 5 + 6k + 2k = 7k

Combine like terms: 6 + 5 = 11
11 + 6k + 2k = 7k

Combine like terms: 6k + 2k = 8k
11 + 8k = 7k

Solving
11 + 8k = 7k

Solving for variable 'k'.

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

Add '-7k' to each side of the equation.
11 + 8k + -7k = 7k + -7k

Combine like terms: 8k + -7k = 1k
11 + 1k = 7k + -7k

Combine like terms: 7k + -7k = 0
11 + 1k = 0

Add '-11' to each side of the equation.
11 + -11 + 1k = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 1k = 0 + -11
1k = 0 + -11

Combine like terms: 0 + -11 = -11
1k = -11

Divide each side by '1'.
k = -11

Simplifying
k = -11