Question

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

Answer 1

Answer:

n=3/4

Step-by-step explanation:

$15 - (n - 3) = 3(n + 5) \\ 15 - n + 3 = 3n + 15 \\ - n + 3 = 3n \\ - n - 3n = - 3 \\ - 4n = - 3 \\ n = \frac{3}{4}$

Answer 2

$\huge \boxed{\mathfrak{Question} \downarrow}$

• 15 − (n − 3) = 3(n + 5).

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

$\large \boxed{\bf \: n=\frac{3}{4}=0.75}$

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

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

• 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.

$\large \sf \: n=\frac{-3}{-4} \\ = > \: \large \boxed{\bf \: n = \frac{3}{4} = 0.75}$