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:)