Solve for j. 5(4/5j + 2) = 3 - 6j j = ____

Distribute and Simplify: Distribute 5 to the terms inside the parentheses. 5(4/5j + 2) = 5 * (4/5j) + 5 * 2 = 4j + 10 Rewrite Equation: Rewrite the equation with all terms involving j on one side. 4j + 10 = 3 - 6j 4j + 6j = 3 - 10 Combine Like Terms: Combine like terms. 10j = -7 Solve for j: Solve for j by dividing both sides by 10. j = -7 / 10

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Solve for $j$ . $\newline$ $5\left(\frac{4}{5}j + 2\right) = 3 - 6j$ $\newline$ $j =$ __

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Math Problems

Grade 8

Solve multi-step equations with fractional coefficients

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Q. Solve for

j

\newline

5\left(\frac{4}{5}j + 2\right) = 3 - 6j

\newline

j =

Distribute and Simplify: Distribute $5$ to the terms inside the parentheses. $5\left(\frac{4}{5}j + 2\right) = 5 \times \left(\frac{4}{5}j\right) + 5 \times 2 = 4j + 10$
Rewrite Equation: Rewrite the equation with all terms involving $j$ on one side. $\newline$ $4j + 10 = 3 - 6j$ $\newline$ $4j + 6j = 3 - 10$
Combine Like Terms: Combine like terms. $10j = -7$
Solve for j: Solve for j by dividing both sides by $10$ . $j = \frac{-7}{10}$