Answer:
k=−15
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(3k−10)+1=8(
3
/2
k+2)
(3)(3k)+(3)(−10)+1=(8)(
3
/2
k)+(8)(2)(Distribute)
9k+−30+1=12k+16
(9k)+(−30+1)=12k+16(Combine Like Terms)
9k+−29=12k+16
9k−29=12k+16
Step 2: Subtract 12k from both sides.
9k−29−12k=12k+16−12k
−3k−29=16
Step 3: Add 29 to both sides.
−3k−29+29=16+29
−3k=45
Step 4: Divide both sides by -3.
−3k
/−3
=
45
/−3
k=−15
