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((10 - 6 + 5) \\div 9) \\times 2

Question

((10 - 6 + 5) \div 9) \times 2

Explanation:

Identify the expression

We evaluate the given arithmetic expression.

$$ ((10 - 6 + 5) \div 9) \times 2 $$

Evaluate the innermost parentheses

Using the Order of Operations concept, calculate inside the innermost parentheses first.
Perform addition and subtraction from left to right.

$$ 10 - 6 = 4 $$
$$ 4 + 5 = 9 $$

Evaluate the outer parentheses

Substitute the result back into the expression.
Using the Order of Operations concept, perform the division.

$$ (9 \div 9) \times 2 = 1 \times 2 $$

Perform the final multiplication

Multiply the remaining terms to find the final value.

$$ 1 \times 2 = 2 $$

Answer:

2