7(k+3)-7=-6+6(k+1)

Solution for 7(k+3)-7=-6+6(k+1) equation:

Simplifying
7(k + 3) + -7 = -6 + 6(k + 1)

Reorder the terms:
7(3 + k) + -7 = -6 + 6(k + 1)
(3 * 7 + k * 7) + -7 = -6 + 6(k + 1)
(21 + 7k) + -7 = -6 + 6(k + 1)

Reorder the terms:
21 + -7 + 7k = -6 + 6(k + 1)

Combine like terms: 21 + -7 = 14
14 + 7k = -6 + 6(k + 1)

Reorder the terms:
14 + 7k = -6 + 6(1 + k)
14 + 7k = -6 + (1 * 6 + k * 6)
14 + 7k = -6 + (6 + 6k)

Combine like terms: -6 + 6 = 0
14 + 7k = 0 + 6k
14 + 7k = 6k

Solving
14 + 7k = 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
14 + 7k + -6k = 6k + -6k

Combine like terms: 7k + -6k = 1k
14 + 1k = 6k + -6k

Combine like terms: 6k + -6k = 0
14 + 1k = 0

Add '-14' to each side of the equation.
14 + -14 + 1k = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 1k = 0 + -14
1k = 0 + -14

Combine like terms: 0 + -14 = -14
1k = -14

Divide each side by '1'.
k = -14

Simplifying
k = -14