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  • https://math.libretexts.org/Courses/Highline_College/Math_081%3A_Introduction_to_Algebra/02%3A_Arithmetic/2.04%3A_Order_of_Operations
    \[ \begin{aligned} 12 + 2(3 + 5 \cdot 5 )^2 ~ & \textcolor{red}{ \text{ Multiply inside parentheses: 2 } \cdot 5 \text{ to get } 10.} \\ 12 + 2(3 + 10)^2 ~ & \textcolor{red}{ \text{ Add inside parenth...\[ \begin{aligned} 12 + 2(3 + 5 \cdot 5 )^2 ~ & \textcolor{red}{ \text{ Multiply inside parentheses: 2 } \cdot 5 \text{ to get } 10.} \\ 12 + 2(3 + 10)^2 ~ & \textcolor{red}{ \text{ Add inside parentheses/grouping symbols: } 3 + 10 \text{ to get } 13.} \\ 12 + 2(13)^2 ~ & \textcolor{red}{ \text{ Exponents are next: } (13)^2 \text{ to get } 169.} \\ 12 + 2(169)~ & \textcolor{red}{ \text{ Multiplication is next: } 2(169) \text{ to get } 338.} \\ 12 + 338 ~ & \textcolor{red}{ \text{ Finally add: }…

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