Question

Simplify the expression:
7a+–8a+–8a–6a+5a+–10a

Answer 1

Simplify the expression:
–7+7–4y+–5

Answer 2

Simplify the expression:
t+8–5t+5t+4t+5

Answer 3

Simplify the expression:
–4+3+–2w+–1–7w

Answer 4

To simplify the expression \( 7a + (-8a) + (-8a) - 6a + 5a + (-10a) \), we can combine like terms (the coefficients of \( a \)).

1. First, list out the coefficients:
- \( 7 \) (from \( 7a \))
- \( -8 \) (from \( -8a \))
- \( -8 \) (from another \( -8a \))
- \( -6 \) (from \( -6a \))
- \( 5 \) (from \( 5a \))
- \( -10 \) (from \( -10a \))

2. Now, add these coefficients together:
\[
7 + (-8) + (-8) + (-6) + 5 + (-10)
\]

3. Calculate step by step:
\[
7 - 8 = -1
\]
\[
-1 - 8 = -9
\]
\[
-9 - 6 = -15
\]
\[
-15 + 5 = -10
\]
\[
-10 - 10 = -20
\]

Therefore, the simplified expression is:
\[
-20a
\]

Answer 5

To simplify the expression \(-7 + 7 - 4y - 5\), we can combine the constant terms and keep the variable term separate.

1. First, simplify the constants:
\[
-7 + 7 - 5
\]

Here, \(-7 + 7 = 0\), so we have:
\[
0 - 5 = -5
\]

2. The variable term \(-4y\) remains unchanged.

Putting it all together, the simplified expression is:
\[
-5 - 4y
\]

Alternatively, you could write it as:
\[
-4y - 5
\]

Both forms are correct, but \(-5 - 4y\) is the first simplified outcome.

Answer 6

To simplify the expression \( t + 8 - 5t + 5t + 4t + 5 \), we can combine like terms.

1. Start by identifying the variable terms and the constant terms:
- Variable terms: \( t, -5t, 5t, 4t \)
- Constant terms: \( 8, 5 \)

2. Combine the variable terms:
\[
t - 5t + 5t + 4t
\]
Simplifying this:
\[
t - 5t = -4t
\]
\[
-4t + 5t = 1t \quad (\text{or just } t)
\]
\[
t + 4t = 5t
\]
Thus, the combined variable terms yield \( 5t \).

3. Now, combine the constant terms:
\[
8 + 5 = 13
\]

4. Finally, combine both results:
\[
5t + 13
\]

So, the fully simplified expression is:
\[
5t + 13
\]

Answer 7

To simplify the expression \(-4 + 3 - 2w - 1 - 7w\), follow these steps to combine like terms:

1. **Identify the constant terms and the variable terms:**
- Constant terms: \(-4\), \(3\), and \(-1\)
- Variable terms: \(-2w\) and \(-7w\)

2. **Combine the constant terms:**
\[
-4 + 3 - 1
\]
Simplifying this step-by-step:
\[
-4 + 3 = -1
\]
\[
-1 - 1 = -2
\]

3. **Combine the variable terms:**
\[
-2w - 7w
\]
This gives:
\[
-2w - 7w = -9w
\]

4. **Put it all together:**
Combining the results from the constant and variable terms:
\[
-2 - 9w
\]

Thus, the fully simplified expression is:
\[
-9w - 2
\]

You can also write it as:
\[
-2 - 9w
\]

Both forms are correct, but \(-9w - 2\) is a neat way to present the result.