7(k+2)-(8-7k)=13k

Solution for 7(k+2)-(8-7k)=13k equation:

Simplifying
7(k + 2) + -1(8 + -7k) = 13k

Reorder the terms:
7(2 + k) + -1(8 + -7k) = 13k
(2 * 7 + k * 7) + -1(8 + -7k) = 13k
(14 + 7k) + -1(8 + -7k) = 13k
14 + 7k + (8 * -1 + -7k * -1) = 13k
14 + 7k + (-8 + 7k) = 13k

Reorder the terms:
14 + -8 + 7k + 7k = 13k

Combine like terms: 14 + -8 = 6
6 + 7k + 7k = 13k

Combine like terms: 7k + 7k = 14k
6 + 14k = 13k

Solving
6 + 14k = 13k

Solving for variable 'k'.

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

Add '-13k' to each side of the equation.
6 + 14k + -13k = 13k + -13k

Combine like terms: 14k + -13k = 1k
6 + 1k = 13k + -13k

Combine like terms: 13k + -13k = 0
6 + 1k = 0

Add '-6' to each side of the equation.
6 + -6 + 1k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 1k = 0 + -6
1k = 0 + -6

Combine like terms: 0 + -6 = -6
1k = -6

Divide each side by '1'.
k = -6

Simplifying
k = -6