7(k+6)=8k

Solution for 7(k+6)=8k equation:

Simplifying
7(k + 6) = 8k

Reorder the terms:
7(6 + k) = 8k
(6 * 7 + k * 7) = 8k
(42 + 7k) = 8k

Solving
42 + 7k = 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
42 + 7k + -8k = 8k + -8k

Combine like terms: 7k + -8k = -1k
42 + -1k = 8k + -8k

Combine like terms: 8k + -8k = 0
42 + -1k = 0

Add '-42' to each side of the equation.
42 + -42 + -1k = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -1k = 0 + -42
-1k = 0 + -42

Combine like terms: 0 + -42 = -42
-1k = -42

Divide each side by '-1'.
k = 42

Simplifying
k = 42