(−5.2)+(−3.8)–{(−1.2)–[(−0.5)–(−0.7)]}
To simplify this problem we will use order of operations. PEMDAS which stands for Parenthesis Exponent Multiplication Division Addition Subtraction
=(−5.2)+(−3.8)–{(−1.2)–[(−0.5)+0.7]}
=(−5.2)+(−3.8)–{(−1.2)–[−0.5+0.7]}
=(−5.2)+(−3.8)–{(−1.2)–[0.2]}
=(−5.2)+(−3.8)–{(−1.2)–0.2}
=(−5.2)+(−3.8)–{−1.2–0.2}
=(−5.2)+(−3.8)–{-1.4}
=(−5.2)+(−3.8)+1.4
=(−5.2)−3.8+1.4
=(−5.2)-2.4
=−5.2-2.4
=-7.6
Hence final answer is -7.6.