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Question

-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: \(-8m - 25\)