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Geno started to evaluate [tex]$90-(18 + (-2))(-3)$[/tex], as shown. What should he do next?

[tex]
\begin{array}{l}
90-(18 + (-2))(-3) \\
90-(16)(-3)
\end{array}
\]

Sagot :

Geno started with the expression [tex]\(90 - (18 + -2)(-3)\)[/tex].

1. He first needs to simplify within the parentheses:
[tex]\[ 18 + -2 = 16 \][/tex]

2. Substitute this result back into the expression:
[tex]\[ 90 - 16(-3) \][/tex]

3. Next, perform the multiplication:
[tex]\[ 16 \times -3 = -48 \][/tex]

4. Substitute this result back into the expression:
[tex]\[ 90 - (-48) \][/tex]

5. Simplify the expression by remembering that subtracting a negative is equivalent to adding the positive counterpart:
[tex]\[ 90 + 48 \][/tex]

6. Finally, perform the addition:
[tex]\[ 90 + 48 = 138 \][/tex]

So, the final result of the expression [tex]\(90 - (18 + -2)(-3)\)[/tex] is:
[tex]\[ 138 \][/tex]

The interim result during the calculation of the multiplication within the parentheses was:
[tex]\[ -48 \][/tex]

Therefore, the complete solution is:
[tex]\[ \begin{array}{l} 90-(18+-2)(-3) \\ 90-(16)(-3) \\ 90 - (-48) \\ 90 + 48 \\ 138 \end{array} \][/tex]