-8k-34=-7(6+k)

Solution for -8k-34=-7(6+k) equation:

Simplifying
-8k + -34 = -7(6 + k)

Reorder the terms:
-34 + -8k = -7(6 + k)
-34 + -8k = (6 * -7 + k * -7)
-34 + -8k = (-42 + -7k)

Solving
-34 + -8k = -42 + -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.
-34 + -8k + 7k = -42 + -7k + 7k

Combine like terms: -8k + 7k = -1k
-34 + -1k = -42 + -7k + 7k

Combine like terms: -7k + 7k = 0
-34 + -1k = -42 + 0
-34 + -1k = -42

Add '34' to each side of the equation.
-34 + 34 + -1k = -42 + 34

Combine like terms: -34 + 34 = 0
0 + -1k = -42 + 34
-1k = -42 + 34

Combine like terms: -42 + 34 = -8
-1k = -8

Divide each side by '-1'.
k = 8

Simplifying
k = 8