Answer:
z = 188
Step-by-step explanation:
1. 10/13 = 8 - 2z/52 (simplify - 2z/52)
10/13 = 8 (- 1/26)*z
2. 10/13 = (- 1/26)*z + 8 (flip for ease in solving)
(- 1/26)*z + 8 = 10/13
3. (- 1/26)*z + 8 = 10/13 (inverse: subtract 8 from each side to isolate variable z)
(- 1/26)*z = 10/13 - (8*13)/(1*13) (common denominator needed for add/subtract)
(- 1/26)*z = - 94/13 (simplify)
4. (- 1/26)*z = - 94/13 (inverse: multiply both sides by -26/1 to isolate variable z)
z = 188
