7(k+3)-7=-6+6(5+1)

Solution for 7(k+3)-7=-6+6(5+1) equation:

Simplifying
7(k + 3) + -7 = -6 + 6(5 + 1)

Reorder the terms:
7(3 + k) + -7 = -6 + 6(5 + 1)
(3 * 7 + k * 7) + -7 = -6 + 6(5 + 1)
(21 + 7k) + -7 = -6 + 6(5 + 1)

Reorder the terms:
21 + -7 + 7k = -6 + 6(5 + 1)

Combine like terms: 21 + -7 = 14
14 + 7k = -6 + 6(5 + 1)

Combine like terms: 5 + 1 = 6
14 + 7k = -6 + 6(6)

Multiply 6 * 6
14 + 7k = -6 + 36

Combine like terms: -6 + 36 = 30
14 + 7k = 30

Solving
14 + 7k = 30

Solving for variable 'k'.

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

Add '-14' to each side of the equation.
14 + -14 + 7k = 30 + -14

Combine like terms: 14 + -14 = 0
0 + 7k = 30 + -14
7k = 30 + -14

Combine like terms: 30 + -14 = 16
7k = 16

Divide each side by '7'.
k = 2.285714286

Simplifying
k = 2.285714286