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Solve the equation. Check your solution.
5-3z=11
The solution set is _____.

Solve the equation. Check your solution.\newline53z=115-3 z=11\newlineThe solution set is _____\_\_\_\_\_.

Full solution

Q. Solve the equation. Check your solution.\newline53z=115-3 z=11\newlineThe solution set is _____\_\_\_\_\_.
  1. Isolate variable term: Isolate the variable term by subtracting 55 from both sides of the equation.\newline53z5=1155 - 3z - 5 = 11 - 5\newline3z=6-3z = 6
  2. Divide by 3-3: Divide both sides of the equation by 3-3 to solve for z.\newline3z/3=6/3-3z / -3 = 6 / -3\newlinez=2z = -2
  3. Check solution: Check the solution by substituting zz back into the original equation.53(2)=5+6=115 - 3(-2) = 5 + 6 = 11The left side equals the right side, so the solution is correct.

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