5(k+6)+8(k-9)=72

Solution for 5(k+6)+8(k-9)=72 equation:

Simplifying
5(k + 6) + 8(k + -9) = 72

Reorder the terms:
5(6 + k) + 8(k + -9) = 72
(6 * 5 + k * 5) + 8(k + -9) = 72
(30 + 5k) + 8(k + -9) = 72

Reorder the terms:
30 + 5k + 8(-9 + k) = 72
30 + 5k + (-9 * 8 + k * 8) = 72
30 + 5k + (-72 + 8k) = 72

Reorder the terms:
30 + -72 + 5k + 8k = 72

Combine like terms: 30 + -72 = -42
-42 + 5k + 8k = 72

Combine like terms: 5k + 8k = 13k
-42 + 13k = 72

Solving
-42 + 13k = 72

Solving for variable 'k'.

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

Add '42' to each side of the equation.
-42 + 42 + 13k = 72 + 42

Combine like terms: -42 + 42 = 0
0 + 13k = 72 + 42
13k = 72 + 42

Combine like terms: 72 + 42 = 114
13k = 114

Divide each side by '13'.
k = 8.769230769

Simplifying
k = 8.769230769