Answer :

Step 1

Use PEMDAS ( parentheses, exponents, multiplication, division, addition, and subtraction) rule to simplify the problem.

To do this we expand all parenthesis starting from inside.

[tex]\begin{gathered} 4\mleft\lbrace28-\lbrack10+3(3+1\mright)\times2\rbrack\} \\ =\text{ }4\lbrace28-\lbrack10+3(4)\times2\rbrack\} \end{gathered}[/tex]

Step 2

Multipy 3 by 4

[tex]\begin{gathered} =4\mleft\lbrace28-\lbrack10\text{ +(12 }\times2)\rbrack\mright\rbrace \\ =4\mleft\lbrace28-\lbrack10+24\rbrack\mright\rbrace \end{gathered}[/tex]

Step 3

Add 10 + 24

[tex]=\text{ 4}\mleft\lbrace28-\text{ 34}\mright\rbrace[/tex]

Step 4

Find the value of 28-34

[tex]=4\mleft\lbrace-6\mright\rbrace[/tex]

Step 5

Get the final answer

[tex]4\times-6\text{ = -24}[/tex]

Answer = -24

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