Solve the equation \(5 + z = -19\).
Isolate the variable \(z\).
Subtract 5 from both sides of the equation: \[ 5 + z - 5 = -19 - 5 \] Simplify: \[ z = -24 \]
\(\boxed{z = -24}\)
Check the solution by substituting \(z = -24\) into the original equation.
Substitute \(z = -24\) into \(5 + z = -19\).
\[ 5 + (-24) = -19 \] Simplify: \[ -19 = -19 \] The left-hand side equals the right-hand side, confirming the solution is correct.
\(\boxed{\text{The solution is correct.}}\)
\(\boxed{z = -24}\) \(\boxed{\text{The solution is correct.}}\)
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