Question

solve. |m + 5| + 1 = 27 m = \square (simplify your answer. type an integer or a fraction. use commas to separate answers if needed.)

Explanation:

Step1: Isolate the absolute value

Subtract 1 from both sides of the equation \(|m + 5| + 1 = 27\) to get \(|m + 5| = 27 - 1\).
\(|m + 5| = 26\)

Step2: Solve the absolute value equation

The absolute value equation \(|m + 5| = 26\) means \(m + 5 = 26\) or \(m + 5 = -26\).

For \(m + 5 = 26\), subtract 5 from both sides: \(m = 26 - 5 = 21\).

For \(m + 5 = -26\), subtract 5 from both sides: \(m = -26 - 5 = -31\).

Answer:

\(m = 21, -31\)