Let's solve the equation \( 8g + 10 = 35 + 3g \) step by step:

1. First, subtract \( 3g \) from both sides to get all terms with \( g \) on one side:

\[
8g - 3g + 10 = 35
\]

This simplifies to:

\[
5g + 10 = 35
\]

2. Next, subtract 10 from both sides to isolate the \( g \)-term:

\[
5g = 35 - 10
\]

\[
5g = 25
\]

3. Finally, divide both sides by 5 to solve for \( g \):

\[
g = \frac{25}{5}
\]

\[
g = 5
\]

The solution is \( g = 5 \).

Would you like more details or have any questions?

Here are 5 related questions to expand on this topic:
1. How do you solve equations with variables on both sides?
2. What is the general process for solving linear equations?
3. How would you check if your solution to an equation is correct?
4. What happens if the variable cancels out during solving?
5. How can you handle equations involving fractions?

**Tip:** Always simplify equations step-by-step, starting with combining like terms and moving variables to one side.

This guide provides a step-by-step solution to the linear equation 8g + 10 = 35 + 3g. Learn essential algebraic techniques, such as isolating the variable and using the properties of equality, suitable for students in Grades 6-8.

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