2) \( -1+|10+m|=6 \)

To solve the equation, we first isolate the absolute value: \( |10 + m| = 6 + 1 \), which simplifies to \( |10 + m| = 7 \). This gives us two cases to consider: \( 10 + m = 7 \) or \( 10 + m = -7 \). Solving the first case, \( 10 + m = 7 \) leads to \( m = 7 - 10 = -3 \). For the second case, \( 10 + m = -7 \) results in \( m = -7 - 10 = -17 \). Thus, the solution to the equation yields \( m = -3 \) or \( m = -17 \).