QuestionSolve the equation for $r$ :
$19r + 2 + 17r = 13r + 2$
Simplify and fill in the missing steps.

Studdy Solution

STEP 1

Assumptions1. We are given the equation $19r + +17r =13r +$ . . We need to find the value of $r$ .

STEP 2

First, we need to simplify the equation by combining like terms on both sides. On the left side, we combine $19r$ and $17r$ to get $36r$ .
$19r +2 +17r =13r +2 \implies36r +2 =13r +2$

STEP 3

Next, we need to get all terms involving $r$ on one side of the equation and the constants on the other side. We can do this by subtracting $13r$ from both sides of the equation.
$36r +2 -13r =13r +2 -13r \implies23r +2 =2$

STEP 4

Now, we need to isolate $r$ on one side of the equation. We can do this by subtracting $2$ from both sides of the equation.
$23r +2 -2 =2 -2 \implies23r =0$

STEP 5

Finally, we need to solve for $r$ . We can do this by dividing both sides of the equation by $23$ .
$\frac{23r}{23} = \frac{0}{23} \implies r =0$ So, the solution to the equation is $r =0$ .

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