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Solve for z. 5z+8=3z+16 z=[◻]

Solve for z \mathrm{z} .\newline5z+8=3z+165z+8=3z+16 \newlinez=□z = \square

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Full solution

Q. Solve for z \mathrm{z} .\newline5z+8=3z+165z+8=3z+16 \newlinez=□z = \square
  1. Combine and Isolate Variable: First, we need to combine like terms and isolate the variable zz on one side of the equation. We start by subtracting 3z3z from both sides of the equation to get the zz terms on one side.\newline5z+8−3z=3z+16−3z5z + 8 - 3z = 3z + 16 - 3z
  2. Simplify Equation: Now, we simplify both sides of the equation by combining like terms.\newline5z−3z+8=165z - 3z + 8 = 16\newline2z+8=162z + 8 = 16
  3. Subtract to Isolate: Next, we subtract 88 from both sides of the equation to isolate the term with zz.\newline2z+8−8=16−82z + 8 - 8 = 16 - 8\newline2z=82z = 8
  4. Divide to Solve: Finally, we divide both sides of the equation by 22 to solve for zz. \newline2z2=82\frac{2z}{2} = \frac{8}{2}\newlinez=4z = 4

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