Solve for r. {:[(-8)/(r+6)=4],[r=]:}

Isolate the variable r: Isolate the variable r in the first equation. To do this, we need to get rid of the denominator (r+6) by multiplying both sides of the equation by (r+6). (-8)/(r+6) = 4 (-8)/(r+6) * (r+6) = 4 * (r+6)Simplify both sides: Simplify both sides of the equation. On the left side, (r+6) cancels out, leaving us with -8. On the right side, distribute 4 into (r+6). -8 = 4r + 24Move the variable term: Move the variable term to one side and the constant term to the other side to isolate r. Subtract 4r from both sides to move the variable term to the left side and subtract 24 from both sides to move the constant term to the right side. -8 - 24 = 4r + 24 - 24 - 4rCombine like terms and solve: Combine like terms and solve for r. -32 = 0r This simplifies to -32 = 0, which is a contradiction. This means there is no solution for r that satisfies the equation (-8)/(r+6) = 4.

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Solve for $r$ . $\newline$ $\begin{array}{l} \frac{-8}{r+6}=4 \\ r= \end{array}$

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Grade 6

Multiply using the distributive property

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Q. Solve for

r

\newline

\begin{array}{l} \frac{-8}{r+6}=4 \\ r= \end{array}

Isolate the variable $r$ : Isolate the variable $r$ in the first equation. $\newline$ To do this, we need to get rid of the denominator $(r+6)$ by multiplying both sides of the equation by $(r+6)$ . $\newline$ $\frac{-8}{r+6} = 4$ $\newline$ $\frac{-8}{r+6} \cdot (r+6) = 4 \cdot (r+6)$
Simplify both sides: Simplify both sides of the equation. $\newline$ On the left side, $(r+6)$ cancels out, leaving us with $-8$ . On the right side, distribute $4$ into $(r+6)$ . $\newline$ $-8 = 4r + 24$
Move the variable term: Move the variable term to one side and the constant term to the other side to isolate $r$ . $\newline$ Subtract $4r$ from both sides to move the variable term to the left side and subtract $24$ from both sides to move the constant term to the right side. $\newline$ $-8 - 24 = 4r + 24 - 24 - 4r$
Combine like terms and solve: Combine like terms and solve for $r$ . $-32 = 0r$ This simplifies to $-32 = 0$ , which is a contradiction. This means there is no solution for $r$ that satisfies the equation $\frac{-8}{r+6} = 4$ .