Evaluate the following: (i)`-8-24+31-26-28+7+19-18-8+33` (ii)`-26-20+33-(-33)+21+24-(-25)-26-14-34`

Answer

Let's evaluate the two expressions step by step.

### Part (i): Evaluate `-8 - 24 + 31 - 26 - 28 + 7 + 19 - 18 - 8 + 33`

1. **Identify Negative and Positive Numbers:**
- Negative numbers: `-8, -24, -26, -28, -18, -8`
- Positive numbers: `31, 7, 19, 33`

2. **Sum the Negative Numbers:**
- Calculate:
\[ -8 - 24 - 26 - 28 - 18 - 8 = -8 - 24 = -32 \]
\[ -32 - 26 = -58 \]
\[ -58 - 28 = -86 \]
\[ -86 - 18 = -104 \]
\[ -104 - 8 = -112 \]
- Total of negative numbers: `-112`

3. **Sum the Positive Numbers:**
- Calculate:
\[ 31 + 7 = 38 \]
\[ 38 + 19 = 57 \]
\[ 57 + 33 = 90 \]
- Total of positive numbers: `90`

4. **Combine the Results:**
- Now combine the sums of negative and positive numbers:
\[ -112 + 90 = -22 \]

**Final Answer for Part (i):** `-22`

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### Part (ii): Evaluate `-26 - 20 + 33 - (-33) + 21 + 24 - (-25) - 26 - 14 - 34`

1. **Identify Negative and Positive Numbers:**
- Negative numbers: `-26, -20, -26, -14, -34`
- Positive numbers: `33, -(-33) = 33, 21, 24, -(-25) = 25`

2. **Sum the Negative Numbers:**
- Calculate:
\[ -26 - 20 = -46 \]
\[ -46 - 26 = -72 \]
\[ -72 - 14 = -86 \]
\[ -86 - 34 = -120 \]
- Total of negative numbers: `-120`

3. **Sum the Positive Numbers:**
- Calculate:
\[ 33 + 33 = 66 \]
\[ 66 + 21 = 87 \]
\[ 87 + 24 = 111 \]
\[ 111 + 25 = 136 \]
- Total of positive numbers: `136`

4. **Combine the Results:**
- Now combine the sums of negative and positive numbers:
\[ 136 - 120 = 16 \]

**Final Answer for Part (ii):** `16`

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