Evaluate: (-14+i)-(-12-11i)

Expression: $\left( -14+i \right)-\left( -12-11i \right)$

Remove unnecessary parentheses

$-14+i-\left( -12-11i \right)$

When there is a $-$ in front of an expression in parentheses, change the sign of each term of the expression and remove the parentheses

$-14+i+12+11i$

Calculate the sum

$-2+i+11i$

Collect like terms

$-2+12i$

Write the complex number in absolute value bars

$|-2+12i|$

Use $|a+bi|=\sqrt{ {a}^{2}+{b}^{2} }$ to calculate the modulus

$\sqrt{ {\left( -2 \right)}^{2}+{12}^{2} }$

Simplify the expression

$\begin{align*}&2\sqrt{ 37 } \\&\approx12.16553\end{align*}$