Answer:
t = 4 or t = -16
Step-by-step explanation:
Let's solve your equation step-by-step.
2+|t+6|=12
|t+6|+2=12
Step 1: Add -2 to both sides.
|t+6|+2+−2=12+−2
|t+6|=10
Step 2: Solve Absolute Value.
|t+6|=10
We know eithert+6=10 or t+6=−10
t+6=10(Possibility 1)
t+6−6=10−6(Subtract 6 from both sides)
t=4
t+6=−10(Possibility 2)
t+6−6=−10−6(Subtract 6 from both sides)
t=−16
