Solve the equation and show all your steps.
\[ 6r + 7 = 13 + 7r \]
Answer (2)
The **solution **of **equation **6r + 7 = 13 + 7r by combining like terms is,
r = - 6
Used the concept of the equation that states,
An equation is a group of numerical **variables **and functions that have been combined using operations like addition, subtraction, multiplication, and division.
Given that the **equation **is,
6r + 7 = 13 + 7r
Now simplify the equation by combining like terms as
6r + 7 = 13 + 7r
Subtract 6r from both sides;
7 = 13 + 7r - 6r
7 = 13 + r
Subtract 13 from both sides;
7 - 13 = r
-6 = r
r = - 6
Therefore the **solution **of expression is r = - 6.
To learn more about the **equation **visit:
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To solve the equation 6 r + 7 = 13 + 7 r , we rearranged the terms and isolated r , ultimately finding that r = − 6 . We confirmed this solution by substituting it back into the original equation, which balanced correctly. Therefore, the solution is verified as r = − 6 .
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