Question

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-5v + 2-(1-7v) + 11v
6(2x-5y)-2(x+9y)
8(p+1)-13p+9
15-6(2m+1) -34+ 4m

Answer 1

Let's simplify each expression step by step.

### Expression 1:
\[
-5v + 2 - (1 - 7v) + 11v
\]

1. Distribute the negative sign:
\[
-5v + 2 - 1 + 7v + 11v
\]
2. Combine like terms:
\[
(-5v + 7v + 11v) + (2 - 1)
\]
\[
(13v - 5v) + 1 = 13v - 5v + 1 = 2v + 1
\]

### Expression 2:
\[
6(2x - 5y) - 2(x + 9y)
\]

1. Distribute:
\[
12x - 30y - 2x - 18y
\]
2. Combine like terms:
\[
(12x - 2x) + (-30y - 18y)
\]
\[
10x - 48y
\]

### Expression 3:
\[
8(p + 1) - 13p + 9
\]

1. Distribute:
\[
8p + 8 - 13p + 9
\]
2. Combine like terms:
\[
(8p - 13p) + (8 + 9)
\]
\[
-5p + 17
\]

### Expression 4:
\[
15 - 6(2m + 1) - 34 + 4m
\]

1. Distribute:
\[
15 - 12m - 6 - 34 + 4m
\]
2. Combine like terms:
\[
(15 - 6 - 34) + (-12m + 4m)
\]
\[
-25 - 8m
\]

Here's the simplified form of each expression:

1. **Expression 1:** \(2v + 1\)
2. **Expression 2:** \(10x - 48y\)
3. **Expression 3:** \(-5p + 17\)
4. **Expression 4:** \(-8m - 25\)