To solve the equation

6 \div 2(1+2), we need to follow the order of operations (PEMDAS/BODMAS), which stands for:

• Parentheses/Brackets

• Exponents/Orders

• Multiplication and Division (from left to right)

• Addition and Subtraction (from left to right)

Here are the steps:

1. Parentheses first:

6 \div 2(1+2) = 6 \div 2(3)

2. Multiplication and Division from left to right:

6 \div 2 \times 3

Division and multiplication are performed from left to right.

First, perform the division: 6 \div 2 = 3

Then, multiply the result by 3: 3 \times 3 = 9

So, the solution to the equation 6 \div 2(1+2) is 9.

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