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].