Final answer:
To solve for g in -3 + 5 + 6g = 11 - 3g, we combine like terms and isolate g to find that g = 1.
Step-by-step explanation:
To solve for g in the equation -3 + 5 + 6g = 11 - 3g, we need to isolate g on one side of the equation. We can do this by combining like terms and moving all terms with g to one side:
First, add 3g to both sides of the equation: -3 + 5 + 3g + 6g = 11 - 3g + 3g. This simplifies to: 8g + 2 = 11.
Next, subtract 2 from both sides of the equation: 8g + 2 - 2 = 11 - 2. This simplifies to: 8g = 9.
Finally, divide both sides of the equation by 8 to solve for g: 8g/8 = 9/8. This simplifies to: g = 9/8.
To solve for g in the equation -3 + 5 + 6g = 11 - 3g, we first simplify both sides of the equation. Combining like terms on the left side we get 2 + 6g, and on the right side we simply have 11 - 3g. We then get all terms containing g on one side and constant terms on the other by adding 3g to both sides and subtracting 2 from both sides, resulting in 6g + 3g = 11 - 2. This simplifies to 9g = 9. Dividing both sides by 9 gives us g = 1.
Here is the step-by-step process:
- Start with -3 + 5 + 6g = 11 - 3g.
- Combine like terms: 2 + 6g = 11 - 3g.
- Add 3g to both sides: 2 + 6g + 3g = 11.
- Subtract 2 from both sides: 6g + 3g = 9.
- Combine like terms: 9g = 9.
- Divide both sides by 9: g = 1.