Combine the like terms to create an equivalent expression:
\large{5n+6+(-7n)}5n+6+(−7n)
The like terms that can be combined are 5n and -7n. Combining them gives us 5n + (-7n), which simplifies to -2n. Therefore, the equivalent expression is \boxed{-2n + 6}.
To combine like terms, we need to combine the terms that have the same variable.
In this expression, we have two terms with the variable "n": 5n and -7n.
To combine these terms, we can simply add their coefficients:
5n + (-7n) = 5n - 7n
Now, we subtract the coefficients:
5n - 7n = (5-7)n
Simplifying the coefficient, we get:
(5-7)n = -2n
So, the equivalent expression is -2n + 6.
To combine the like terms, we need to simplify the expression by adding or subtracting the coefficients of the like terms. In this case, the like terms are the terms with the variable "n".
The given expression is 5n + 6 + (-7n). To combine the like terms, we can add the coefficients of the "n" terms. The coefficient of "n" in 5n is 5, and the coefficient of "n" in -7n is -7.
So, the combined coefficient for the "n" term is 5 + (-7) = -2.
The simplified expression can therefore be written as -2n + 6.
Hence, the equivalent expression by combining the like terms is -2n + 6.