Question

solve the equation and check your solution. 2(r + 6) = 4(r + 4) r =

Explanation:

Step1: Expand both sides

$2r + 12 = 4r + 16$

Step2: Isolate variable terms

$2r - 4r = 16 - 12$

Step3: Simplify both sides

$-2r = 4$

Step4: Solve for $r$

$r = \frac{4}{-2} = -2$

Step5: Verify the solution

Left side: $2(-2 + 6) = 2(4) = 8$
Right side: $4(-2 + 4) = 4(2) = 8$
Both sides are equal, so $r=-2$ is valid.

Answer:

$r = -2$