2.50(k+15)=412.50

Solution for 2.50(k+15)=412.50 equation:

Simplifying
2.50(k + 15) = 412.50

Reorder the terms:
2.50(15 + k) = 412.50
(15 * 2.50 + k * 2.50) = 412.50
(37.5 + 2.50k) = 412.50

Solving
37.5 + 2.50k = 412.50

Solving for variable 'k'.

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

Add '-37.5' to each side of the equation.
37.5 + -37.5 + 2.50k = 412.50 + -37.5

Combine like terms: 37.5 + -37.5 = 0.0
0.0 + 2.50k = 412.50 + -37.5
2.50k = 412.50 + -37.5

Combine like terms: 412.50 + -37.5 = 375
2.50k = 375

Divide each side by '2.50'.
k = 150

Simplifying
k = 150