a) \(\left(-189\right)+135+\left(-111\right)+\left(-135\right)\)
\(=\left(-189-111\right)+\left(135-135\right)\)
\(=-300+0\)
\(=-300\)
b) \(126+345-126+215\)
\(=\left(126-126\right)+\left(345+215\right)\)
\(=0+560\)
\(=560\)
c) \(\left(-213\right)+186+\left|-213\right|-186+100\)
\(=\left(-213\right)+186+213-186+100\)
\(=\left(-213+213\right)+\left(186-186\right)+100\)
\(=0+0+100\)
\(=100\)
d) \(\left(-34\right)+\left|-123\right|+\left|-34\right|-123+200\)
\(=\left(-34\right)+123+34-123+200\)
\(=\left(-34+34\right)+\left(123-123\right)+200\)
\(=0+0+200\)
\(=200\)
e) \(\left(-250\right)+\left(-15\right)-\left(-250\right)+\left|-15\right|+150\)
\(=\left(-250\right)+\left(-15\right)+250+15+150\)
\(=\left(-250+250\right)+\left(-15+15\right)+150\)
\(=0+0+150\)
\(=150\)
