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15 − (n − 3) = 3(n + 5) help question 7

User Zloster
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4 votes

Answer:

n=3/4

Explanation:


15 - (n - 3) = 3(n + 5) \\ 15 - n + 3 = 3n + 15 \\ - n + 3 = 3n \\ - n - 3n = - 3 \\ - 4n = - 3 \\ n = (3)/(4)

User Jack Daniel
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\huge \boxed{\mathfrak{Question} \downarrow}

  • 15 − (n − 3) = 3(n + 5).


\huge \boxed{\mathfrak{Answer} \downarrow}


\large \boxed{\bf \: n=(3)/(4)=0.75}


\huge \boxed{\mathfrak{Explanation} \downarrow}


\large \sf \: 15 - ( n - 3 ) = 3 ( n + 5 )

  • To find the opposite of n-3, find the opposite of each term.


\large \sf \: 15-n-\left(-3\right)=3\left(n+5\right)

  • The opposite of -3 is 3.


\large \sf \: 15-n+3=3\left(n+5\right)

  • Add 15 and 3 to get 18.


\large \sf \: 18-n=3\left(n+5\right)

  • Use the distributive property to multiply 3 by n+5.


\large \sf \: 18-n=3n+15

  • Subtract 3n from both sides.


\large \sf \: 18-n-3n=15

  • Combine -n and -3n to get -4n.


\large \sf \: 18-4n=15

  • Subtract 18 from both sides.


\large \sf \: -4n=15-18

  • Subtract 18 from 15 to get -3.


\large \sf-4n=-3

  • Divide both sides by -4.


\large \sf \: n=(-3)/(-4) \\ = > \: \large \boxed{\bf \: n = (3)/(4) = 0.75}

User Noel Kennedy
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8.5k points

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