72=-6(k-7)+8(k+5)

Solution for 72=-6(k-7)+8(k+5) equation:

Simplifying
72 = -6(k + -7) + 8(k + 5)

Reorder the terms:
72 = -6(-7 + k) + 8(k + 5)
72 = (-7 * -6 + k * -6) + 8(k + 5)
72 = (42 + -6k) + 8(k + 5)

Reorder the terms:
72 = 42 + -6k + 8(5 + k)
72 = 42 + -6k + (5 * 8 + k * 8)
72 = 42 + -6k + (40 + 8k)

Reorder the terms:
72 = 42 + 40 + -6k + 8k

Combine like terms: 42 + 40 = 82
72 = 82 + -6k + 8k

Combine like terms: -6k + 8k = 2k
72 = 82 + 2k

Solving
72 = 82 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
72 + -2k = 82 + 2k + -2k

Combine like terms: 2k + -2k = 0
72 + -2k = 82 + 0
72 + -2k = 82

Add '-72' to each side of the equation.
72 + -72 + -2k = 82 + -72

Combine like terms: 72 + -72 = 0
0 + -2k = 82 + -72
-2k = 82 + -72

Combine like terms: 82 + -72 = 10
-2k = 10

Divide each side by '-2'.
k = -5

Simplifying
k = -5