7b-(4a-8b)+(2a-3b)

To simplify the expression \(7b - (4a - 8b) + (2a - 3b)\), follow these steps: 1. Distribute the negative sign in front of the first parentheses: \[ = 7b - 4a + 8b + 2a - 3b \] 2. Combine like terms: - For the \(b\) terms: \[ 7b + 8b - 3b = (7 + 8 - 3)b = 12b \] - For the \(a\) terms: \[ -4a + 2a = (-4 + 2)a = -2a \] 3. Combine the simplified terms: \[ = -2a + 12b \] Thus, the simplified result is: \[ -2a + 12b \]