Solve for j. 4j + 8 = -8 + 2j j = ____

Subtract 2j: First, we want to get all the terms with j on one side of the equation and the constant terms on the other side. We can do this by subtracting 2j from both sides of the equation. 4j + 8 - 2j = -8 + 2j - 2jCombine like terms: Now, we simplify both sides of the equation by combining like terms. (4j - 2j) + 8 = -8 2j + 8 = -8Isolate j term: Next, we want to isolate the term with j, so we subtract 8 from both sides of the equation to move the constant term to the other side. 2j + 8 - 8 = -8 - 8Simplify both sides: Simplify both sides by combining like terms. 2j = -16Solve for j: Finally, we solve for j by dividing both sides of the equation by 2. 2j / 2 = -16 / 2 j = -8

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Solve for $j$ . $\newline$ $4j + 8 = -8 + 2j$

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Algebra 1

Solve linear equations with variables on both sides

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Q. Solve for

j

\newline

4j + 8 = -8 + 2j

Subtract $2j$ : First, we want to get all the terms with $j$ on one side of the equation and the constant terms on the other side. We can do this by subtracting $2j$ from both sides of the equation. $\newline$ $4j + 8 - 2j = -8 + 2j - 2j$
Combine like terms: Now, we simplify both sides of the equation by combining like terms. $\newline$ $(4j - 2j) + 8 = -8$ $\newline$ $2j + 8 = -8$
Isolate j term: Next, we want to isolate the term with j, so we subtract $8$ from both sides of the equation to move the constant term to the other side. $\newline$ $2j + 8 - 8 = -8 - 8$
Simplify both sides: Simplify both sides by combining like terms. $2j = -16$
Solve for j: Finally, we solve for j by dividing both sides of the equation by $2$ . $\newline$ $\frac{2j}{2} = \frac{-16}{2}$ $\newline$ $j = -8$