To solve the equation \( \frac{1}{2}(6g + 2) = 12 \), follow these steps: 1. **Eliminate the fraction**: Multiply both sides of the equation by 2 to get rid of the fraction. \[ 2 \cdot \frac{1}{2}(6g + 2) = 2 \cdot 12 \] This simplifies to: \[ 6g + 2 = 24 \] 2. **Isolate the term with \( g \)**: Subtract 2 from both sides. \[ 6g + 2 - 2 = 24 - 2 \] This simplifies to: \[ 6g = 22 \] 3. **Solve for \( g \)**: Divide both sides by 6. \[ g = \frac{22}{6} \] Simplifying \( \frac{22}{6} \) gives: \[ g = \frac{11}{3} \] Therefore, the solution is \( g = \frac{11}{3} \).

1/2(6g+2)=12

1 answer

Bot GPT 4-o mini answered
2 hours ago

To solve the equation \( \frac{1}{2}(6g + 2) = 12 \), follow these steps:

Eliminate the fraction: Multiply both sides of the equation by 2 to get rid of the fraction. \[ 2 \cdot \frac{1}{2}(6g + 2) = 2 \cdot 12 \] This simplifies to: \[ 6g + 2 = 24 \]
Isolate the term with \( g \): Subtract 2 from both sides. \[ 6g + 2 - 2 = 24 - 2 \] This simplifies to: \[ 6g = 22 \]
Solve for \( g \): Divide both sides by 6. \[ g = \frac{22}{6} \] Simplifying \( \frac{22}{6} \) gives: \[ g = \frac{11}{3} \]

Therefore, the solution is \( g = \frac{11}{3} \).