3-4(2k-5)=71

Solution for 3-4(2k-5)=71 equation:

Simplifying
3 + -4(2k + -5) = 71

Reorder the terms:
3 + -4(-5 + 2k) = 71
3 + (-5 * -4 + 2k * -4) = 71
3 + (20 + -8k) = 71

Combine like terms: 3 + 20 = 23
23 + -8k = 71

Solving
23 + -8k = 71

Solving for variable 'k'.

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

Add '-23' to each side of the equation.
23 + -23 + -8k = 71 + -23

Combine like terms: 23 + -23 = 0
0 + -8k = 71 + -23
-8k = 71 + -23

Combine like terms: 71 + -23 = 48
-8k = 48

Divide each side by '-8'.
k = -6

Simplifying
k = -6