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Hello can you explain this to me please. Simplify the Expression by combining like terms

Hello Can You Explain This To Me Please Simplify The Expression By Combining Like Terms class=

Answer :

EXPLANATION

Given the expression:

[tex]\frac{3}{4}r\text{ +2r + }\frac{1}{2}r[/tex]

First, taking r as a common factor:

[tex]r(\frac{3}{4}+2+\frac{1}{2})[/tex]

Then, adding 3/4 with 2 as follows:

[tex]\frac{3}{4}+2=\frac{11}{4}[/tex]

Replacing on the equation:

[tex]r(\frac{11}{4}+\frac{1}{2})[/tex]

Adding 11/4 and 1/2:

[tex]\frac{11}{4}+\frac{1}{2}=\frac{13}{4}[/tex]

Replacing on the equation and removing the parentheses:

[tex]\frac{13}{4}r[/tex]

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