K could either be a 16 or -24
Answer:
<h2>-33x - 82</h2>
Step-by-step explanation:
Use
PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
and the distributive property a(b + c) = ab + ac.
![1)\qquad5(x+3)=5x+15\\\\2)\qquad x+5(x+3)=x+5x+15=6x+15\\\\3)\qquad2[x+5(x+3)]=2(6x+15)=12x+30\\\\4)\qquad x-2[x+5(x+3)]=x-(12x+30)=x-12x-30=-11x-30\\\\5)\qquad3\{x-2[x+5(x+3)]\}=3(-11x-30)=-33x-90\\\\6)\qquad8+3\{x-2[x+5(x+3)]\}=8+(-33x-90)=-33x-82](https://tex.z-dn.net/?f=1%29%5Cqquad5%28x%2B3%29%3D5x%2B15%5C%5C%5C%5C2%29%5Cqquad%20x%2B5%28x%2B3%29%3Dx%2B5x%2B15%3D6x%2B15%5C%5C%5C%5C3%29%5Cqquad2%5Bx%2B5%28x%2B3%29%5D%3D2%286x%2B15%29%3D12x%2B30%5C%5C%5C%5C4%29%5Cqquad%20x-2%5Bx%2B5%28x%2B3%29%5D%3Dx-%2812x%2B30%29%3Dx-12x-30%3D-11x-30%5C%5C%5C%5C5%29%5Cqquad3%5C%7Bx-2%5Bx%2B5%28x%2B3%29%5D%5C%7D%3D3%28-11x-30%29%3D-33x-90%5C%5C%5C%5C6%29%5Cqquad8%2B3%5C%7Bx-2%5Bx%2B5%28x%2B3%29%5D%5C%7D%3D8%2B%28-33x-90%29%3D-33x-82)
Answer:
Please check the explanation below.
Step-by-step explanation:
Some of the properties are defined as:
- <em>Distributive property</em>

For example,
suppose a=3, b=4, c=5
3(4+5) = 3(4) + 3(5)
3(9) = 12+15
27 = 27
- <em>Subtraction property of Equality</em>
if (a=b), then a-c = b-c
For example,
suppose a=2, b=2, c=5
if a = b ⇒ 2 = 2
then a-c = b-c ⇒ 2-5 = 2- 5 ⇒ -3 = -3
- <em>Addition property of Equality</em>
if (a=b), then a+c = b+c
For example,
suppose a=2, b=2, c=5
if a = b ⇒ 2 = 2
then a+c = b+c ⇒ 2+3 = 2+3 ⇒ 5 = 5
- <em>Multiplicative property of Equality</em>
if (a=b), then a×c = b×c
For example,
suppose a=2, b=2, c=5
if a = b ⇒ 2 = 2
then a×c = b×c ⇒ 2×5 = 2 × 5 ⇒ 10 = 10
- <em>Division property of Equality</em>
if (a=b), then a÷c = b÷c
For example,
suppose a=2, b=2, c=5
if a = b ⇒ 2 = 2
then a÷c = b÷c ⇒ 2÷5 = 2 ÷ 3 ⇒ 2/5 = 2/5
Let us solve the given equation using the above properties.
7n-16=47 Given
7n-16+16=47+16 1) Addtion property of Equality ∵ if (a=b), then a+c = b+c
7n=63 2) simplify
n = 9 3) Division property of Equality ∵ if (a=b), then a÷c = b÷c
The perimeter is 16.2. Let me know if you need me to show you how I got this