5. \( 2=11+3(m+3) \)

To solve the equation \( 2 = 11 + 3(m + 3) \), we will first simplify the right side of the equation. 1. Distribute the \( 3 \) in the term \( 3(m + 3) \): \[ 3(m + 3) = 3m + 9 \] So the equation becomes: \[ 2 = 11 + 3m + 9 \] 2. Combine the constant terms on the right side: \[ 11 + 9 = 20 \] Thus, the equation simplifies to: \[ 2 = 20 + 3m \] 3. Next, isolate the term with \( m \) by subtracting \( 20 \) from both sides: \[ 2 - 20 = 3m \] This simplifies to: \[ -18 = 3m \] 4. Finally, divide both sides by \( 3 \) to solve for \( m \): \[ m = \frac{-18}{3} = -6 \] Thus, the solution is: \[ \boxed{-6} \]