Question

Solve for n. 4(n-7)-(2-5n)=8n

Answer 1

Question;

$4(n - 7) - (2 - 5n) = 8n$

Solution;

$\begin{gathered}\\ \sf\longmapsto\end{gathered}$ Distribute 4 through the parentheses

$4n - 28 - (2n - 5) = 8n$

$\begin{gathered}\\ \sf\longmapsto\end{gathered}$When there is a - in front of an expression in parentheses, change the sign of each term in the expression

$4n - 28 - 2 + 5n = 8n$

$\begin{gathered}\\ \sf\longmapsto\end{gathered}$ collect like terms

$9n - 28 - 2 = 8n$

$\begin{gathered}\\ \sf\longmapsto\end{gathered}$ Calculate the difference

$9n - 30 = 8n$

$\begin{gathered}\\ \sf\longmapsto\end{gathered}$Move the constant to the right-hand side and change its sign

&

$\begin{gathered}\\ \sf\longmapsto\end{gathered}$Move the variable to the left-hand side and change its sign

$9n - 8n = 30$

$\begin{gathered}\\ \sf\longmapsto\end{gathered}$ Collect like terms

$n = 30$

Solved ♤

Answer 2

Answer:

n = 30

Step-by-step explanation:

4(n - 7) - (2- 5n) = 8n ← distribute parenthesis on left side

4n - 28 - 2 + 5n = 8n

9n - 30 = 8n ( subtract 8n from both sides )

n - 30 = 0 ( add 30 to both sides )

n = 30