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solve for n n + 1 = 4(n - 8) options: n = 1; n = 8; n = 11; n = 16

Question

solve for n
n + 1 = 4(n - 8)
options: n = 1; n = 8; n = 11; n = 16

Explanation:

Step1: Expand right-hand side

$n + 1 = 4n - 32$

Step2: Isolate n terms

$1 + 32 = 4n - n$

Step3: Simplify and solve for n

$33 = 3n \implies n = \frac{33}{3} = 11$

Answer:

C. $n=11$