34.4k views
24 votes
Solve the equation -6 + 6n = 42 for n. A. -6
B. 2
C. 6
D. 8

2 Answers

9 votes

Answer:

D.
\displaystyle 8

Step-by-step Step-by-step explanation:


\displaystyle -6 + 6n = 42 \hookrightarrow (48)/(6) = (6n)/(6) \\ \\ \boxed{8 = n}

*We add six to both sides, then divide the remaining result by six, to get eight.

I am joyous to assist you at any time.

User Dominik Sajovic
by
8.0k points
6 votes

Hey there!

-6 + 6n = 42

6n - 6 = 42

ADD 6 to BOTH SIDES

6n - 6 + 6 = 42 + 6

CANCEL out: -6 + 6 because it gives you 0

KEEP: 42 + 6 because it help solve for the n-value


NEW EQUATION: 6n = 42 + 6


SIMPLIFY IT!

6n = 48


DIVIDE 6 to BOTH SIDES

6n/6 = 48/6

CANCEL out: 6/6 because it give you 1

KEEP: 48/6 because it help solve for the n-value (it actually give you the n-value)


NEW EQUATION: n = 48/6


SIMPLIFY IT!


n = 8


Therefore, your answer is: Option D. 8


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

User JonathanKingston
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories