Simplify the expression:

Question

7a+–8a+–8a–6a+5a+–10a

Answer 1

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 2

Simplify the expression:
–7+7–4y+–5

Answer 3

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 4

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

Answer 5

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 6

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

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.