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Simplify: [tex]-9-2[6-5(2)][/tex].

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Sagot :

Sure, let's simplify the expression step by step.

We start with the expression [tex]\(-9 - 2[6 - 5(2)]\)[/tex].

First, simplify inside the innermost brackets:
[tex]\[6 - 5(2)\][/tex]

Calculate the multiplication inside the brackets:
[tex]\[5 \times 2 = 10\][/tex]

Now, substitute back into the expression:
[tex]\[6 - 10\][/tex]

Now perform the subtraction within the brackets:
[tex]\[6 - 10 = -4\][/tex]

So the expression now looks like:
[tex]\(-9 - 2(-4)\)[/tex]

Next, we perform the multiplication:
[tex]\[-2 \times -4 = 8\][/tex]

Now, substitute back into the main expression:
[tex]\(-9 + 8\)[/tex]

Finally, perform the subtraction (adding a positive value is the same as subtracting a negative one):
[tex]\[-9 + 8 = -1\][/tex]

So, the simplified expression is:
[tex]\[ -1 \][/tex]