Final answer:
To simplify 3*(-9 + 7) + 12 / (-3), we first solve the parentheses, resulting in -6. Then we divide 12 by -3, resulting in -4. Adding both values, we get the final result of -10.
Step-by-step explanation:
The question asks us to simplify the expression 3*(-9 + 7) + 12 / (-3). First, we perform the operation inside the parentheses. We add 7 to -9, which is the same as subtracting 9 from 7, giving us -2. This results in the intermediate step 3 * (-2). When two numbers with different signs multiply, the answer has a negative sign. Therefore, 3 multiplied by -2 is -6.
The next step is to divide 12 by -3. Both numbers have different signs, so the result will be negative. This gives us -4. Now we have the simplified expression -6 + (-4), which is the same as -6 - 4.
According to addition rules, when we add two negative numbers, we sum their absolute values and keep the negative sign. The sum of 6 and 4 is 10. Therefore, the final answer is -10.