Answers:
(Check attched image).
Step-by-step explanation:
In this exercise we must simplify each expression until it matches one of the answers below, let's work with each expression one by one.
1. (6r + 7) + (13 + 7r).
a. Group all the similar terms.
(6r+7r)+(13+7)
b. Simplify.
13r+20
2. (13 - 3/2r) - (1 - r).
a. Solve all parenthesis.
13 - 3/2r - 1 + r
b. Work with similar terms to simplify.
(-3/2r + r) + (13-1)
-1/2r + 12
3. (- 8 - r) + (2r - 4).
a. Group all the similar terms.
(-r + 2r) + (-4 -8)
b. Simplify.
r + (-12)
r - 12
4. (7r - 3/2) - (2/3 + 6r).
a. Solve all parenthesis.
7r - 3/2 - 2/3 - 6r
b. Simplify by operating with similar terms.
7r-6r-2/3-3/2
r-2/3-3/2
Let's do the fraction substraction below.
[tex]-\frac{2}{3} -\frac{3}{2}= \\ \\-\frac{2*2}{3*2} -\frac{3*3}{2*3}=\\ \\-\frac{4}{6} -\frac{9}{6}=\\ \\\frac{-4-9}{6} =\\ \\-\frac{13}{6}[/tex]
Hence, the final result of this simplification is:
r - 13/6
Check out the attched image below to see the original problem and the answers.
