Select the expressions that are equivalent to $$ (7 g+3)+(g-5) $$. $$ \begin{array}{c}-2 g+8 \ -2+g+7 g \ (3 g+7)+(g-5) \ (3 g+7)+(-5 g+1)\end{array} $$

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To determine which expressions are equivalent to $$ (7g + 3) + (g - 5) $$, let's first simplify the original expression:

$$
(7g + 3) + (g - 5) = 7g + g + 3 - 5 = 8g - 2
$$

Now, evaluate each of the given options to see which one also simplifies to $$ 8g - 2 $$:

1. **$$-2g + 8$$**
   $$
   -2g + 8 \neq 8g - 2
   $$
   This is **not equivalent**.

2. **$$-2 + g + 7g$$**
   $$
   -2 + g + 7g = 8g - 2
   $$
   This **is equivalent**.

3. **$$(3g + 7) + (g - 5)$$**
   $$
   3g + 7 + g - 5 = 4g + 2 \neq 8g - 2
   $$
   This is **not equivalent**.

4. **$$(3g + 7) + (-5g + 1)$$**
   $$
   3g + 7 - 5g + 1 = -2g + 8 \neq 8g - 2
   $$
   This is **not equivalent**.

**Conclusion:** Only the second expression, $$-2 + g + 7g$$, is equivalent to $$ (7g + 3) + (g - 5) $$.

**Answer:** Only the second expression, $$-2 + g + 7g$$, is equivalent.
Only the expression $$-2 + g + 7g$$ is equivalent to $$ (7g + 3) + (g - 5) $$.

Select the expressions that are equivalent to .

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