Simplify and solve the following linear equation: 3(5z - 7) - (9z + 13) = 4(8z - 15)

Given: 3(5z - 7) - (9z + 13) = 4(8z - 15)
→ 15z - 21 - 9z - 13 = 32z - 60
→ 6z - 34 = 32z - 60
→ 6z - 32z = -60 + 34
→ -26z = -26
→ z = -26/-26
∴ z = 1