71=-6(k-7)+16(k+5)

Solution for 71=-6(k-7)+16(k+5) equation:

Simplifying
71 = -6(k + -7) + 16(k + 5)

Reorder the terms:
71 = -6(-7 + k) + 16(k + 5)
71 = (-7 * -6 + k * -6) + 16(k + 5)
71 = (42 + -6k) + 16(k + 5)

Reorder the terms:
71 = 42 + -6k + 16(5 + k)
71 = 42 + -6k + (5 * 16 + k * 16)
71 = 42 + -6k + (80 + 16k)

Reorder the terms:
71 = 42 + 80 + -6k + 16k

Combine like terms: 42 + 80 = 122
71 = 122 + -6k + 16k

Combine like terms: -6k + 16k = 10k
71 = 122 + 10k

Solving
71 = 122 + 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
71 + -10k = 122 + 10k + -10k

Combine like terms: 10k + -10k = 0
71 + -10k = 122 + 0
71 + -10k = 122

Add '-71' to each side of the equation.
71 + -71 + -10k = 122 + -71

Combine like terms: 71 + -71 = 0
0 + -10k = 122 + -71
-10k = 122 + -71

Combine like terms: 122 + -71 = 51
-10k = 51

Divide each side by '-10'.
k = -5.1

Simplifying
k = -5.1