Answered

IDNLearn.com: Your go-to resource for finding precise and accurate answers. Discover comprehensive answers to your questions from our community of knowledgeable experts.

Combine the like terms to create an equivalent expression:

[tex]\[ 5n + 6 + (-7n) = \ \square \][/tex]

Sagot :

GinnyAnsweridn
To create an equivalent expression for the given expression [tex]\(5n + 6 + (-7n)\)[/tex], we should follow these steps to combine the like terms:

1. Identify the like terms:
- Like terms are terms that contain the same variable raised to the same power. In this expression, the like terms include [tex]\(5n\)[/tex] and [tex]\(-7n\)[/tex], as both terms contain the variable [tex]\(n\)[/tex].

2. Combine the like terms with [tex]\(n\)[/tex]:
- Add the coefficients of the like terms:
[tex]\[5n + (-7n)\][/tex]

- Perform the arithmetic operation on the coefficients:
[tex]\[5 + (-7) = -2\][/tex]

- So, the combined term is:
[tex]\[-2n\][/tex]

3. Write down the constant term:
- The constant term in the expression is [tex]\(6\)[/tex], which remains unchanged.

4. Combine the simplified like terms and the constant:
- The expression simplifies to:
[tex]\[-2n + 6\][/tex]

Therefore, the equivalent expression for [tex]\(5n + 6 + (-7n)\)[/tex] is:
[tex]\[ -2n + 6 \][/tex]
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to assisting you again.