ly's Math: CPM Math 7 - Lesson 6.2.7 HW 5-134a www.youtube.com/user/MrConnallysMath 6-134. One way of thinking about solving equations is to work to get the variable terms on one side of the equation and the constants on the other side. Consider the equation $$ 71=9 x-37 $$. a. As a first-step, you-could subtract 71 from both sides, or divide both-sides by 9 , or add 37 to both sides of the equation. Does one of these steps get all of the variable terms on one side of the equation and the constants on the other? 6-134) a) (Yes/No)

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UpStudy AI · Accepted Answer

To determine whether one of the suggested steps gets all of the variable terms on one side of the equation and the constants on the other, let's analyze the equation:

$$
71 = 9x - 37
$$

### Suggested Steps:
1. **Subtract 71 from both sides:**
   $$
   71 - 71 = 9x - 37 - 71 \implies 0 = 9x - 108
   $$
   This step moves the constant (71) to the right side, but it does not isolate the variable term on one side and the constants on the other.

2. **Divide both sides by 9:**
   $$
   \frac{71}{9} = x - \frac{37}{9}
   $$
   This step does not isolate the variable terms on one side and the constants on the other.

3. **Add 37 to both sides:**
   $$
   71 + 37 = 9x - 37 + 37 \implies 108 = 9x
   $$
   This step successfully moves the constant (37) to the left side and isolates the variable term (9x) on the right side.

### Conclusion:
The third step (adding 37 to both sides) does indeed get all of the variable terms on one side of the equation and the constants on the other.

**Answer:** Yes
Yes, adding 37 to both sides isolates the variable term on one side and the constants on the other.

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