To simplify the expression \((1.8a - a) - (1.8a + a - 2)\), follow these steps:
Simplify the first part: \[ 1.8a - a = (1.8 - 1)a = 0.8a \]
Simplify the second part: \[ 1.8a + a - 2 = 1.8a + 1a - 2 = (1.8 + 1)a - 2 = 2.8a - 2 \]
Now substitute these back into the expression, giving: \[ 0.8a - (2.8a - 2) \]
Distribute the negative sign: \[ 0.8a - 2.8a + 2 \]
Combine like terms: \[ (0.8 - 2.8)a + 2 = -2a + 2 \]
So, the simplified expression is: \[ -2a + 2 \]