2+5(8-5k)=67

Solution for 2+5(8-5k)=67 equation:

Simplifying
2 + 5(8 + -5k) = 67
2 + (8 * 5 + -5k * 5) = 67
2 + (40 + -25k) = 67

Combine like terms: 2 + 40 = 42
42 + -25k = 67

Solving
42 + -25k = 67

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 + -25k = 67 + -42

Combine like terms: 42 + -42 = 0
0 + -25k = 67 + -42
-25k = 67 + -42

Combine like terms: 67 + -42 = 25
-25k = 25

Divide each side by '-25'.
k = -1

Simplifying
k = -1