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Solve for $j$ . $\newline$ $-4j - 14 = -2j$ $\newline$ $j =$ __

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Solve linear equations

Full solution

Q. Solve for

j

.

\newline

-4j - 14 = -2j

\newline

j =

__

Move $-2j$ to left: We have the equation $-4j - 14 = -2j$ . To isolate the variable $j$ , we need to get all the $j$ terms on one side of the equation. Let's move $-2j$ to the left side by adding $2j$ to both sides of the equation. $\newline$ $-4j - 14 + 2j = -2j + 2j$ $\newline$ $-4j + 2j - 14 = 0$
Combine like terms: Now, let's combine like terms on the left side of the equation. $\newline$ $-4j + 2j - 14 = 0$ $\newline$ $(-4j + 2j) - 14 = 0$ $\newline$ $-2j - 14 = 0$
Isolate $-2j$ : Next, we need to isolate $-2j$ by adding $14$ to both sides of the equation to get rid of the $-14$ on the left side. $\newline$ $-2j - 14 + 14 = 0 + 14$ $\newline$ $-2j = 14$
Divide by $-2$ : Finally, to solve for $j$ , we divide both sides of the equation by $-2$ to isolate $j$ . $\frac{-2j}{-2} = \frac{14}{-2}$ $j = -7$

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