6(6v+6)-5=1+6v

Answer 1

To solve the equation \( 6(6v + 6) - 5 = 1 + 6v \), we can start by simplifying both sides.

1. Distribute on the left side: \[ 6(6v) + 6(6) - 5 = 1 + 6v \] \[ 36v + 36 - 5 = 1 + 6v \] \[ 36v + 31 = 1 + 6v \]

2. Now, isolate the variable \( v \) by moving the \( 6v \) to the left side: \[ 36v - 6v + 31 = 1 \] \[ 30v + 31 = 1 \]

3. Next, subtract 31 from both sides: \[ 30v = 1 - 31 \] \[ 30v = -30 \]

4. Finally, divide both sides by 30: \[ v = \frac{-30}{30} = -1 \]

Thus, the solution is: \[ \boxed{-1} \]