\( (+15)-(+7)-\left[\begin{array}{ccc}{(-9)+(-13)}&{}&{}\end{array}\right] \)

To solve this problem, we'll follow the order of operations, which is parentheses first, then exponents (if any), followed by multiplication and division (from left to right), and finally addition and subtraction (from left to right). This expression has no exponents, so we'll start with the parentheses. The expression inside the parentheses is \((-9) + (-13)\). When adding two negative numbers, you add their absolute values and keep the negative sign. So, \(-9 + (-13) = -(9 + 13) = -22\). Now, we can substitute this result back into the original expression: \[ (+15) - (+7) - \left[\begin{array}{ccc}{(-9)+(-13)}&{}&{}\end{array}\right] = (+15) - (+7) - (-22) \] Next, we perform the subtraction operations from left to right: \[ (+15) - (+7) = 15 - 7 = 8 \] Now we have: \[ 8 - (-22) \] When subtracting a negative number, it's the same as adding its positive counterpart. So: \[ 8 - (-22) = 8 + 22 \] Finally, we add the two numbers: \[ 8 + 22 = 30 \] The final answer is \(30\).