2(5 – 3r) = -4r – 16
To solve the equation, we need to simplify and then isolate the variable.
First, distribute the 2 to the terms inside the parentheses:
2*5 - 2*3r = -4r - 16
Simplifying further:
10 - 6r = -4r - 16
Now let's get all the terms with the variable on one side and the constant terms on the other.
To do this, we can add 4r to both sides of the equation:
10 - 6r + 4r = -4r - 16 + 4r
Simplifying:
10 - 2r = -16
Next, add 16 to both sides of the equation to isolate the variable term:
10 - 2r + 16 = -16 + 16
Simplifying further:
26 - 2r = 0
Now, subtract 26 from both sides of the equation:
26 - 2r - 26 = 0 - 26
Simplifying:
-2r = -26
Finally, divide both sides by -2 to solve for r:
-2r/-2 = -26/-2
Simplifying further:
r = 13
Therefore, the solution to the equation is r = 13.