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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-example-1

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EXPLANATION

Given the expression:


(3)/(4)r\text{ +2r + }(1)/(2)r

First, taking r as a common factor:


r((3)/(4)+2+(1)/(2))

Then, adding 3/4 with 2 as follows:


(3)/(4)+2=(11)/(4)

Replacing on the equation:


r((11)/(4)+(1)/(2))

Adding 11/4 and 1/2:


(11)/(4)+(1)/(2)=(13)/(4)

Replacing on the equation and removing the parentheses:


(13)/(4)r

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