N-2=10n+42

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n = (-44) / 9

Step-by-step explanation:

Solve for n:

n - 2 = 10 n + 42

Subtract 10 n from both sides:

(n - 10 n) - 2 = (10 n - 10 n) + 42

n - 10 n = - 9 n:

-9 n - 2 = (10 n - 10 n) + 42

10 n - 10 n = 0:

-9 n - 2 = 42

Add 2 to both sides:

(2 - 2) - 9 n = 2 + 42

2 - 2 = 0:

-9 n = 42 + 2

42 + 2 = 44:

-9 n = 44

Divide both sides of - 9 n = 44 by - 9:

(-9 n) / (-9) = 44 / (-9)

(-9) / (-9) = 1:

n = 44 / (-9)

Multiply numerator and denominator of 44 / (-9) by - 1:

Answer: n = (-44) / 9