5(k-21)-8k=-34

Solution for 5(k-21)-8k=-34 equation:

Simplifying
5(k + -21) + -8k = -34

Reorder the terms:
5(-21 + k) + -8k = -34
(-21 * 5 + k * 5) + -8k = -34
(-105 + 5k) + -8k = -34

Combine like terms: 5k + -8k = -3k
-105 + -3k = -34

Solving
-105 + -3k = -34

Solving for variable 'k'.

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

Add '105' to each side of the equation.
-105 + 105 + -3k = -34 + 105

Combine like terms: -105 + 105 = 0
0 + -3k = -34 + 105
-3k = -34 + 105

Combine like terms: -34 + 105 = 71
-3k = 71

Divide each side by '-3'.
k = -23.66666667

Simplifying
k = -23.66666667