Solve for z. 8z + 6 = 10z z = ____

Start Equation Setup: Start with the equation 8z + 6 = 10z. We want to get all the z terms on one side and the constants on the other side. Subtract 8z from both sides to move the z terms to one side. 8z + 6 - 8z = 10z - 8zCombine Like Terms: Simplify both sides of the equation. On the left side, 8z - 8z cancels out, leaving us with 6. On the right side, 10z - 8z gives us 2z. So, we have 6 = 2z.Isolate and Solve for z: Solve for z. To isolate z, divide both sides of the equation by 2. 6 / 2 = 2z / 2Final Value of z: Complete the calculation to find the value of z. 6 / 2 = 3 So, z = 3.

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Solve for $z$ . $\newline$ $8z + 6 = 10z$ $\newline$ z = ____

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Algebra 1

Solve linear equations with variables on both sides

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Q. Solve for

z

\newline

8z + 6 = 10z

\newline

z = ____

Start Equation Setup: Start with the equation $8z + 6 = 10z$ . We want to get all the $z$ terms on one side and the constants on the other side. Subtract $8z$ from both sides to move the $z$ terms to one side. $8z + 6 - 8z = 10z - 8z$
Combine Like Terms: Simplify both sides of the equation. $\newline$ On the left side, $8z - 8z$ cancels out, leaving us with $6$ . $\newline$ On the right side, $10z - 8z$ gives us $2z$ . $\newline$ So, we have $6 = 2z$ .
Isolate and Solve for $z$ : Solve for $z$ . $\newline$ To isolate $z$ , divide both sides of the equation by $2$ . $\newline$ $\frac{6}{2} = \frac{2z}{2}$
Final Value of z: Complete the calculation to find the value of $z$ . $\frac{6}{2} = 3$ So, $z = 3$ .