How many solutions does this equation have? $$ 8-2 g=-g $$ no solution one solution infinitely many solutions

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To determine how many solutions the equation $$ 8 - 2g = -g $$ has, let's solve for $$ g $$:

1. **Start with the original equation:**
   $$
   8 - 2g = -g
   $$

2. **Add $$ 2g $$ to both sides to collect like terms:**
   $$
   8 - 2g + 2g = -g + 2g
   $$
   $$
   8 = g
   $$

3. **Solution:**
   $$
   g = 8
   $$

4. **Verification:**
   Substitute $$ g = 8 $$ back into the original equation to verify:
   $$
   8 - 2(8) = -8
   $$
   $$
   8 - 16 = -8
   $$
   $$
   -8 = -8 \quad \text{✓}
   $$
   The equation holds true when $$ g = 8 $$.

**Conclusion:**  
The equation $$ 8 - 2g = -g $$ has **one solution**.

**Answer:**  
One solution
The equation has one solution: $$ g = 8 $$.

How many solutions does this equation have? \( 8-2 g=-g \) no solution one solution infinitely many solutions

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