Solve the following linear equation. [Click Here for Help Video](1 point)

Question

5(9z+2)−5=815
z=

Answer 1

To solve the equation \( 5(9z + 2) - 5 = 815 \), follow these steps:

1. Distribute the \( 5 \) on the left side of the equation: \[ 5 \cdot 9z + 5 \cdot 2 - 5 = 815 \] This simplifies to: \[ 45z + 10 - 5 = 815 \]

2. Combine like terms: \[ 45z + 5 = 815 \]

3. Subtract \( 5 \) from both sides: \[ 45z = 815 - 5 \] \[ 45z = 810 \]

4. Divide both sides by \( 45 \): \[ z = \frac{810}{45} \]

5. Simplify the fraction: \[ z = 18 \]

Thus, the solution is: \[ \boxed{18} \]