Answer:
z = 3
Step-by-step explanation:
Solve for z:
6 (z - 2) + 4 = 10
6 (z - 2) = 6 z - 12:
6 z - 12 + 4 = 10
Grouping like terms, 6 z - 12 + 4 = 6 z + (4 - 12):
6 z + (4 - 12) = 10
4 - 12 = -8:
6 z + -8 = 10
Add 8 to both sides:
6 z + (8 - 8) = 8 + 10
8 - 8 = 0:
6 z = 10 + 8
10 + 8 = 18:
6 z = 18
Divide both sides of 6 z = 18 by 6:
(6 z)/6 = 18/6
6/6 = 1:
z = 18/6
The gcd of 18 and 6 is 6, so 18/6 = (6×3)/(6×1) = 6/6×3 = 3:
Answer: z = 3
