Solve for z. -3 + z = 4(1/5z - 3) z = ____

Distribute and Simplify: Distribute the 4 on the right side of the equation. -3 + z = 4 * (1/5z - 3) = 4/5z - 12Isolate z Terms: Add 3 to both sides to isolate the z terms. -3 + z + 3 = 4/5z - 12 + 3 z = 4/5z - 9Combine and Solve: Subtract 4/5z from both sides to get all z terms on one side. z - 4/5z = -9 1/5z = -9

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Solve for $z$ . $\newline$ $-3 + z = 4(\frac{1}{5}z - 3)$ $\newline$ $z =$ __

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Math Problems

Grade 8

Solve multi-step equations with fractional coefficients

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Q. Solve for

z

\newline

-3 + z = 4(\frac{1}{5}z - 3)

\newline

z =

Distribute and Simplify: Distribute the $4$ on the right side of the equation. $-3 + z = 4 \times \left(\frac{1}{5}z - 3\right)$ $= \frac{4}{5}z - 12$
Isolate z Terms: Add $3$ to both sides to isolate the z terms. $\newline$ $-3 + z + 3 = \frac{4}{5}z - 12 + 3$ $\newline$ $z = \frac{4}{5}z - 9$
Combine and Solve: Subtract $\frac{4}{5}z$ from both sides to get all $z$ terms on one side. $\newline$ $z - \frac{4}{5}z = -9$ $\newline$ $\frac{1}{5}z = -9$