Let's simplify the expression step by step:
The expression is:
\[ -4.08 \div 1.2 - (-4.2) \times 1.5 \]
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Calculate \(-4.08 \div 1.2\): \[ -4.08 \div 1.2 = -3.4 \]
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Calculate \((-4.2) \times 1.5\): \[ -4.2 \times 1.5 = -6.3 \]
Now, since we're subtracting a negative, this will turn into addition: \[
- (-6.3) = +6.3 \]
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Combine the results: \[ -3.4 + 6.3 = 2.9 \]
So, the simplified expression is:
\[ \boxed{2.9} \]