11) -3(1 + 6r) = 14 - r - QAmmunity.org

Srdan Ristic asked Oct 11, 2023

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1 vote

11) -3(1 + 6r) = 14 - r

Srdan Ristic asked Oct 11, 2023

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17 votes

Distributing over parentheses,

$\begin{gathered} -3\cdot1+(-3)\cdot6r=14-r \\ -3-18r=14-r \end{gathered}$

Adding r at both sides,

$\begin{gathered} -3-18r+r=14-r+r \\ -3-17r=14 \end{gathered}$

Adding 3 at both sides,

$\begin{gathered} -3-17r+3=14+3 \\ -17r=17 \end{gathered}$

Dividing by -17 at both sides,

$\begin{gathered} (-17r)/(-17)=(17)/(-17) \\ r=-1 \end{gathered}$

Gouda Elalfy answered Oct 18, 2023

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