Question

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

Answer 1

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)`

Answer 2

`\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}`