Question

−8n+4(1+5n)=−6n−14 Linear equations

Answer 1

To solve the linear equation −8n+4(1+5n)=−6n−14, distribute, combine like terms, and isolate the variable n. The solution is n=−1.

Step-by-step explanation:

To solve the equation −8n+4(1+5n)=−6n−14, we need to simplify and isolate the variable n. First, distribute the 4 to both terms inside the parentheses:

−8n+4+20n=−6n−14

Combine like terms:

12n+4=−6n−14

Next, move all the n terms to one side and the constant terms to the other side:

12n+6n=−14−4

Combine like terms again:

18n=−18

Finally, divide both sides of the equation by 18 to solve for n:

n=−1

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