What should be subtracted from `2a + 8b +10` to get `- 3a + 7b +16`?

Answer

To find out what should be subtracted from \(2a + 8b + 10\) to get \(-3a + 7b + 16\), we can follow these steps:

### Step 1: Set up the equation
We need to find a term \(x\) such that:
\[ 2a + 8b + 10 - x = -3a + 7b + 16 \]

### Step 2: Rearrange the equation
To isolate \(x\), we can rearrange the equation:
\[ x = 2a + 8b + 10 - (-3a + 7b + 16) \]

### Step 3: Simplify the right side
Now, we simplify the right side:
\[ x = 2a + 8b + 10 + 3a - 7b - 16 \]

### Step 4: Combine like terms
Next, we combine the like terms:
- Combine the \(a\) terms: \(2a + 3a = 5a\)
- Combine the \(b\) terms: \(8b - 7b = 1b\)
- Combine the constant terms: \(10 - 16 = -6\)

So, we have:
\[ x = 5a + 1b - 6 \]

### Step 5: Write the final answer
Thus, the term that should be subtracted from \(2a + 8b + 10\) to get \(-3a + 7b + 16\) is:
\[ x = 5a + b - 6 \]

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