To simplify this expression, we need to remember the rule of signs for adding and subtracting integers.
When adding two integers with the same sign, we add their absolute values and use the common sign. When adding two integers with different signs, we subtract the absolute value of the smaller number from the absolute value of the larger number and use the sign of the larger number.
In this case, we have +7 and -(+12). The minus sign in front of the parentheses means that we need to change the sign of all the terms inside the parentheses.
So, -(+12) becomes -12.
Therefore, +7 - (-12) simplifies to +7 + (-12).
Since we have different signs (positive and negative), we subtract the absolute values: 12 - 7 = 5.
The sign of the larger number, which is -12, is used, so the final answer is -5.
Therefore, +7 - (-12) simplifies to -5.
