Let's solve the equation step by step:
Simplify the expression inside the parentheses in the first part of the equation:
− ( 5 − 9 ) + ( 12 − 8 )
First, calculate 5 − 9 which equals − 4 .
Then calculate 12 − 8 which equals 4 .
Substitute the results back in:
− ( − 4 ) + 4
Simplify further:
The double negative − ( − 4 ) becomes 4 .
So the expression simplifies to 4 + 4 = 8 .
Now let's solve the second part of the question:
24 − [( 12 − 5 ) − 3 × ( 23 − 28 )]
Simplify the inner parentheses:
Calculate 12 − 5 which equals 7 .
Calculate 23 − 28 which equals − 5 .
Substitute into the expression and simplify:
24 − [ 7 − 3 × ( − 5 )]
Solve inside the brackets:
Multiply 3 × ( − 5 ) to get − 15 .
Substitute to get 7 − ( − 15 ) .
The minus of a minus becomes a plus, so it simplifies to 7 + 15 = 22 .
Finally, simplify the entire expression:
24 − 22 = 2
So the results of the expressions are 8 and 2 respectively.