Solve for r. Give an exact answer. {:[(1)/(2)r-3=3(4-(3)/(2)r)],[r=◻]:}

Distribute the 3: Distribute the 3 on the right side of the equation to both terms inside the parentheses. 3(4 - (3/2)r) = 3 * 4 - 3 * (3/2)r = 12 - (9/2)rRewrite the equation: Rewrite the equation with the distributed terms. (1/2)r - 3 = 12 - (9/2)rAdd (9/2)r to both sides: Add (9/2)r to both sides of the equation to get all r terms on one side. (1/2)r + (9/2)r = 12 - (9/2)r + (9/2)r (1/2 + 9/2)r = 12 (10/2)r = 12 5r = 12Divide both sides by 5: Divide both sides of the equation by 5 to solve for r. 5r / 5 = 12 / 5 r = 12 / 5

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Solve for
r.
Give an exact answer.

{:[(1)/(2)r-3=3(4-(3)/(2)r)],[r=◻]:}

Solve for $r$ . $\newline$ Give an exact answer. $\newline$ $\frac{1}{2} r-3=3\left(4-\frac{3}{2} r\right)$ $\newline$ $r=$

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Math Problems

Algebra 1

Solve multi-step linear equations

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Q. Solve for

r

\newline

Give an exact answer.

\newline

\frac{1}{2} r-3=3\left(4-\frac{3}{2} r\right)

\newline

r=

Distribute the $3$ : Distribute the $3$ on the right side of the equation to both terms inside the parentheses. $3(4 - \left(\frac{3}{2}\right)r)$ $= 3 \times 4 - 3 \times \left(\frac{3}{2}\right)r$ $= 12 - \left(\frac{9}{2}\right)r$
Rewrite the equation: Rewrite the equation with the distributed terms. $(\frac{1}{2})r - 3 = 12 - (\frac{9}{2})r$
Add $(\frac{9}{2})r$ to both sides: Add $(\frac{9}{2})r$ to both sides of the equation to get all $r$ terms on one side. $\newline$ $(\frac{1}{2})r + (\frac{9}{2})r = 12 - (\frac{9}{2})r + (\frac{9}{2})r$ $\newline$ $(\frac{1}{2} + \frac{9}{2})r = 12$ $\newline$ $(\frac{10}{2})r = 12$ $\newline$ $5r = 12$
Divide both sides by $5$ : Divide both sides of the equation by $5$ to solve for $r$ . $\frac{5r}{5} = \frac{12}{5}$ $r = \frac{12}{5}$