Question

36-14 = -8r - 3r solve for r

please thanks so much .

Answer 1

r = -2

Explanation:

We can solve for the variable r in the equation:

`36-14 = -8r - 3r`

by combining like terms on both sides.

We know that two terms which both have the same variable as a factor can be combined as follows:

`ax + bx = (a + b)x`

Thus, the right side of our equation simplifies as:

`\begin{aligned}-8r - 3r &= (-8 - 3)r \\ &= -11r\end{aligned}`

And we can execute the subtraction on the left side:

`36 - 14 = 22`

Finally, we can divide both sides of the equation by the variable r's coefficient to solve for r:

`(22)/(-11) = (-11r)/(-11)`

`-2 = r`

`\boxed{r = -2}`