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Solve for $k$ . $\newline$ $8\left(\frac{3}{4}k + 3\right) = 8 - 2k$ $\newline$ $k =$ __

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Solve multi-step equations with fractional coefficients

Full solution

Q. Solve for

k

.

\newline

8\left(\frac{3}{4}k + 3\right) = 8 - 2k

\newline

k =

__

Distribute $8$ : Distribute $8$ to the terms inside the parentheses. $\newline$ Calculation: $8(\frac{3}{4}k + 3) = 8 \times (\frac{3}{4}k) + 8 \times 3 = 6k + 24$
Rewrite equation: Rewrite the equation with all terms involving $k$ on one side and constants on the other. $\newline$ Calculation: $6k + 24 = 8 - 2k$ $\newline$ $6k + 2k = 8 - 24$
Simplify sides: Simplify both sides of the equation. $\newline$ Calculation: $8k = -16$
Solve for k: Solve for k by dividing both sides by $8$ . $\newline$ Calculation: $k = \frac{-16}{8} = -2$

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