Questions: Solve the equation below, and check your solution. z+31=24 The solution set is .

Solve the equation below, and check your solution. z+31=24 The solution set is .
Transcript text: Solve the equation below, and check your solution. \[ z+31=24 \] The solution set is $\square$ \}.
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Solution

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Solution Steps

Step 1: Isolate the variable \( z \)

Subtract 31 from both sides of the equation to isolate \( z \): \[ z + 31 - 31 = 24 - 31 \]

Step 2: Simplify the equation

Simplify both sides of the equation: \[ z = -7 \]

Step 3: Check the solution

Substitute \( z = -7 \) back into the original equation to verify: \[ -7 + 31 = 24 \] \[ 24 = 24 \] The solution is correct.

Final Answer

\(\boxed{z = -7}\)

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