Questions: Solve the equation and check your solution. 5+z=-19

Solve the equation and check your solution.
5+z=-19
Transcript text: Solve the equation and check your solution. \[ 5+z=-19 \]
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Solution

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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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