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Evaluate 60-84÷(36-24)*8+12

$60 - 84 \div (36 - 24) \cdot 8 + 12$

Step 1

Simplify each term.

Subtract $24$ from $36$ .

$60 - 84 \div 12 \cdot 8 + 12$

Cancel the common factor of $4$ .

Move the leading negative in $- 84 \div 12$ into the numerator.

$60 + - 84 \div 12 \cdot 8 + 12$

Factor $4$ out of $12$ .

$60 + - 84 \div 4 (3) \cdot 8 + 12$

Factor $4$ out of $8$ .

$60 + - 84 \div 4 \cdot 3 \cdot (4 \cdot 2) + 12$

Cancel the common factor.

$60 + - 84 \div 4 \cdot 3 \cdot (4 \cdot 2) + 12$

Rewrite the expression.

$60 + \frac{- 84}{3} \cdot 2 + 12$

$60 + \frac{- 84}{3} \cdot 2 + 12$

Combine $\frac{- 84}{3}$ and $2$ .

$60 + \frac{- 84 \cdot 2}{3} + 12$

Multiply $- 84$ by $2$ .

$60 + \frac{- 168}{3} + 12$

Divide $- 168$ by $3$ .

$60 - 56 + 12$

$60 - 56 + 12$

Step 2

Simplify by adding and subtracting.

Subtract $56$ from $60$ .

$4 + 12$

Add $4$ and $12$ .

$16$

$16$

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