What is the value of z when solving the equation 8z - 3 = 5z + 9?

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To find the value of z in the equation 8z - 3 = 5z + 9, the goal is to isolate z on one side of the equation.

Begin by getting all terms involving z on one side and constant terms on the other side. Subtract 5z from both sides, leading to:

8z - 5z - 3 = 9.

This simplifies to:

3z - 3 = 9.

Next, add 3 to both sides to eliminate the constant term on the left side:

3z = 12.

Now, to isolate z, divide both sides by 3:

z = 12 / 3.

This gives z = 4.

Thus, the value of z that satisfies the equation is 4.