Question

equations with variables on both sides day , evaluate each equation 8n -12 = -12n + 8 7y + 8 = -2y - 64 1 + 3x = 7x - 7 6a -3 = 4 + 7a3b - 1 = 14 + 2b12c + 18 = 4 + 5c9y + 3 = 5y - 133n - 2= 5n + 125 (m - 2) Use the distributive property-2 (-3 a - 4 ) Use the distributive property

Answer 1

`\begin{gathered} 8n-12=-12n+8\rightarrow8n+12n=12+8\rightarrow20n=20\rightarrow n=(20)/(20) \\ \rightarrow n=1 \end{gathered}`
`\begin{gathered} 7y+8=-2y-64\rightarrow7y+2y=-64-8\rightarrow9y=-72\rightarrow y=-(72)/(9) \\ \rightarrow y=-8 \end{gathered}`
`\begin{gathered} 1+3x=7x-7\rightarrow1+7=7x-3x\rightarrow8=4x\rightarrow(8)/(4)=x \\ x=2 \end{gathered}`
`\begin{gathered} 6a-3=4+7a\rightarrow-3-4=7a-6a\rightarrow-7=a \\ \rightarrow a=-7 \end{gathered}`
`\begin{gathered} 3b-1=14+2b\rightarrow3b-2b=14+1\rightarrow b=15 \\ \rightarrow b=15 \end{gathered}`
`\begin{gathered} 12c+18=4+5c\rightarrow12c-5c=4-18\rightarrow7c=-14\rightarrow c=-(14)/(7) \\ \rightarrow c=-2 \end{gathered}`
`\begin{gathered} 9y+3=5y-13\rightarrow9y-5y=-13-3\rightarrow4y=-16\rightarrow y=-(16)/(4) \\ \rightarrow y=-4 \end{gathered}`
`\begin{gathered} 3n-2=5n+12\rightarrow-2-12=5n-3n\rightarrow-14=2n\rightarrow-(14)/(2)=n \\ \rightarrow n=-7 \end{gathered}`

Using the distributive property,

`5(m-2)\rightarrow5m-10`

Using the distributive property,

`-2(-3a-4)\rightarrow6a+8`