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Simplify the following expression:

[tex]\[ (90 \div 6) \times \left[ -5 + \left( -4(3-8) - (12-3) + 4 \right) \right] \][/tex]

Sagot :

GinnyAnswer
Certainly! Let's solve the given mathematical expression step-by-step:

[tex]\[(90 \div 6) \times [-5 + [-4(3-8) - (12-3) + 4]]\][/tex]

1. Divide 90 by 6:
[tex]\[90 \div 6 = 15\][/tex]

2. Evaluate the inner expression inside the brackets:

a. First, simplify the term inside the parentheses:

[tex]\[ 3 - 8 = -5 \][/tex]

b. Next, multiply -4 by the result of the previous step:

[tex]\[ -4 \times (-5) = 20 \][/tex]

c. Now, simplify the term (12-3):

[tex]\[ 12 - 3 = 9 \][/tex]

d. Make the term - (12-3) negative:

[tex]\[ -(12 - 3) = -9 \][/tex]

e. Combine all parts of the inner expression:

[tex]\[ 20 + (-9) + 4 \][/tex]

f. Add these results together:

[tex]\[ 20 - 9 + 4 = 15 \][/tex]

3. Combine the result with -5:

[tex]\[ -5 + 15 = 10 \][/tex]

4. Finally, multiply the result of the division by the result of the expression:

[tex]\[ 15 \times 10 = 150 \][/tex]

So, the value of the given expression is:

[tex]\[ 150 \][/tex]
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