Answer:
After simplified the equation, there are 3 terms: 6n, 5, -3p.
Step-by-step explanation:
Any expression in Math is made up by terms. A term can be a number (negative or positive), a variable, or a variable multiplied by a coefficient.
Examples of number-type terms: 1, 3, 5, -5, -12,
Examples of variable-type terms: x, y, a, b, t,
Examples of variable multiplied by a coefficient-type terms: 5n, 8t, -9x, -15y,
In the given expression, 2n + 5 -3p + 4n, we can observe that such expression can be simplified as:
(2n+4n) + 5 - 3p, which is equal to 6n + 5 -3p.
Since 2n and 4n share the same variable (n), they are called 'like terms', and we can simplify 2n+4n as 6n (addition).
Using the definition above, we observe that:
6n is a variable multiplied by coefficient-type term,
5 is a number-type term, and,
-3p is a variable multiplied by coefficient-type term.
Because 6n and -3p are accompained by different variables (n and p), they are different terms, and they can't be considered as 'like terms'.
In conclusion, from the given expression, we have 3 terms: 6n, 5, and -3p.
