To solve this problem:
Use the distributive property: 5(5z – 1) = 4(3z + 2) >>> 25z – 5 = 12z + 8
Get the z’s on the same side by subtracting z from both sides:
25z – 5 – 12z = 12z + 8 – 12z >>>> 13z – 5 = 8
Then add 5 to both sides: 13z – 5 + 5 = 8 + 5 >>> 13z = 13
Then divided both sides by 13: 13z/13 = 13/13 >>> z = 1. The answer is: z = 1