Answer :

To solve the expression [tex]\(5n + 3p\)[/tex] for [tex]\(n = -2\)[/tex] and [tex]\(p = 4\)[/tex], follow these steps:

1. Identify the values of [tex]\(n\)[/tex] and [tex]\(p\)[/tex]:
- [tex]\(n = -2\)[/tex]
- [tex]\(p = 4\)[/tex]

2. Substitute these values into the expression [tex]\(5n + 3p\)[/tex]:
- The expression becomes [tex]\(5(-2) + 3(4)\)[/tex]

3. Multiply the constants by the given values:
- First, calculate [tex]\(5(-2)\)[/tex]:
[tex]\[ 5 \times (-2) = -10 \][/tex]
- Next, calculate [tex]\(3(4)\)[/tex]:
[tex]\[ 3 \times 4 = 12 \][/tex]

4. Add the results from step 3:
- Combine [tex]\(-10\)[/tex] and [tex]\(12\)[/tex]:
[tex]\[ -10 + 12 = 2 \][/tex]

Therefore, the value of the expression [tex]\(5n + 3p\)[/tex] for [tex]\(n = -2\)[/tex] and [tex]\(p = 4\)[/tex] is [tex]\(2\)[/tex].