-34=9(k+75)-43

Solution for -34=9(k+75)-43 equation:

Simplifying
-34 = 9(k + 75) + -43

Reorder the terms:
-34 = 9(75 + k) + -43
-34 = (75 * 9 + k * 9) + -43
-34 = (675 + 9k) + -43

Reorder the terms:
-34 = 675 + -43 + 9k

Combine like terms: 675 + -43 = 632
-34 = 632 + 9k

Solving
-34 = 632 + 9k

Solving for variable 'k'.

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

Add '-9k' to each side of the equation.
-34 + -9k = 632 + 9k + -9k

Combine like terms: 9k + -9k = 0
-34 + -9k = 632 + 0
-34 + -9k = 632

Add '34' to each side of the equation.
-34 + 34 + -9k = 632 + 34

Combine like terms: -34 + 34 = 0
0 + -9k = 632 + 34
-9k = 632 + 34

Combine like terms: 632 + 34 = 666
-9k = 666

Divide each side by '-9'.
k = -74

Simplifying
k = -74