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Solve for $s$ . $\newline$ $-s = 4(\frac{1}{2}s + 4)$ $\newline$ $s =$ __

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Solve multi-step equations with fractional coefficients

Full solution

Q. Solve for

s

.

\newline

-s = 4(\frac{1}{2}s + 4)

\newline

s =

__

Distribute $4$ : Distribute $4$ into the parenthesis on the right side of the equation. $\newline$ $-s = 4(\frac{1}{2}s + 4)$ $\newline$ $= 4 \times \frac{1}{2}s + 4 \times 4$ $\newline$ $= 2s + 16$
Move terms with $s$ : Move all terms involving $s$ to one side of the equation. $-s - 2s = -16$ $-3s = -16$
Solve for $s$ : Solve for $s$ by dividing both sides by $-3$ . $s = \frac{-16}{-3}$ $s = \frac{16}{3}$

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