Solve for z. 5z+8=3z+16 z=[◻]

Combine and Isolate Variable: First, we need to combine like terms and isolate the variable z on one side of the equation. We start by subtracting 3z from both sides of the equation to get the z terms on one side. 5z + 8 - 3z = 3z + 16 - 3zSimplify Equation: Now, we simplify both sides of the equation by combining like terms. 5z - 3z + 8 = 16 2z + 8 = 16Subtract to Isolate: Next, we subtract 8 from both sides of the equation to isolate the term with z. 2z + 8 - 8 = 16 - 8 2z = 8Divide to Solve: Finally, we divide both sides of the equation by 2 to solve for z. 2z / 2 = 8 / 2 z = 4

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Algebra 1

Solve advanced linear inequalities

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Q. Solve for

\mathrm{z}

\newline

5z+8=3z+16

\newline

z = \square

Combine and Isolate Variable: First, we need to combine like terms and isolate the variable $z$ on one side of the equation. We start by subtracting $3z$ from both sides of the equation to get the $z$ terms on one side. $\newline$ $5z + 8 - 3z = 3z + 16 - 3z$
Simplify Equation: Now, we simplify both sides of the equation by combining like terms. $\newline$ $5z - 3z + 8 = 16$ $\newline$ $2z + 8 = 16$
Subtract to Isolate: Next, we subtract $8$ from both sides of the equation to isolate the term with $z$ . $\newline$ $2z + 8 - 8 = 16 - 8$ $\newline$ $2z = 8$
Divide to Solve: Finally, we divide both sides of the equation by $2$ to solve for $z$ . $\newline$ $\frac{2z}{2} = \frac{8}{2}$ $\newline$ $z = 4$