Solve the equation equation 6 (z-2) + 4=10

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