Solve for z. 9z = 6z + 6 z = ____

Isolate variable z: Isolate the variable z on one side of the equation. 9z = 6z + 6 Subtract 6z from both sides to get the z terms on one side. 9z - 6z = 6z + 6 - 6zSimplify equation: Simplify both sides of the equation. 9z - 6z = 3z 6z + 6 - 6z = 6 Now we have: 3z = 6Solve for z: Solve for z by dividing both sides of the equation by the coefficient of z. 3z = 6 Divide both sides by 3 to isolate z. 3z / 3 = 6 / 3Calculate z value: Calculate the value of z. z = 6 / 3 z = 2

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Math Problems

Grade 8

Solve equations with variables on both sides

Full solution

Q. Solve for

z

\newline

9z = 6z + 6

Isolate variable $z$ : Isolate the variable $z$ on one side of the equation. $9z = 6z + 6$ Subtract $6z$ from both sides to get the $z$ terms on one side. $9z - 6z = 6z + 6 - 6z$
Simplify equation: Simplify both sides of the equation. $\newline$ $9z - 6z = 3z$ $\newline$ $6z + 6 - 6z = 6$ $\newline$ Now we have: $\newline$ $3z = 6$
Solve for z: Solve for z by dividing both sides of the equation by the coefficient of z. $\newline$ $3z = 6$ $\newline$ Divide both sides by $3$ to isolate $z$ . $\newline$ $\frac{3z}{3} = \frac{6}{3}$
Calculate z value: Calculate the value of z. $\newline$ z = $\frac{6}{3}$ $\newline$ z = $2$