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Simplify the expression:

[tex]\[ 7 + (-2 + [5 + 4(-3) + (-6 + 2) + (-3)]) \][/tex]

Sagot :

GinnyAnsweridn
Sure, let's break down the expression step-by-step to solve it:

Given expression:
[tex]\[7 + (-2 + [5 + 4(-3) + (-6 + 2) + (-3)])\][/tex]

1. Start with the innermost parentheses:
[tex]\[ 4(-3) \][/tex]
[tex]\[ 4 \times (-3) = -12 \][/tex]

2. Next, evaluate the expression within the brackets:
[tex]\[ -6 + 2 \][/tex]
[tex]\[ -6 + 2 = -4 \][/tex]

3. Now substitute these results back into the original expression within the square brackets:
[tex]\[ 5 + 4(-3) + (-6 + 2) + (-3)\][/tex]
[tex]\[ 5 + (-12) + (-4) + (-3) \][/tex]

4. Sum the values inside the square brackets:
[tex]\[ 5 + (-12) + (-4) + (-3) = -14 \][/tex]

5. Next, substitute this result back into the whole expression:
[tex]\[ 7 + (-2 + [-14]) \][/tex]

6. Add the result from inside the square brackets to -2:
[tex]\[ -2 + (-14) = -16 \][/tex]

7. Finally, add this result to 7:
[tex]\[ 7 + (-16) = -9 \][/tex]

So, the final result of the given expression is:
[tex]\[ -9 \][/tex]
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