Question

HELP ASAP DUE NOW GIVEIN BRAINLIST

Answer 1

The student did not properly distribute the 4 to all terms in the parenthesis:

-8n + 4(1 + 5n) = -6n - 14

First, distribute 4 to ALL terms in the parenthesis:

-8n + 4 + 20n = -6n - 14

Next, isolate the variable, n. Add 6n and subtract 4 from both sides:

-8n + 20n (+6n) + 4 (-4) = -6n (+6n) - 14 (-4)

-8n + 20n + 6n = -14 - 4

Simplify. Combine like terms:

(-8n + 20n) + 6n = -18

12n + 6n = -18

18n = -18

Isolate the variable, n. Divide 18 from both sides:

(18n)/18 = (-18)/18

n = (-18)/18

n = -1

n = -1 is your answer.

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Answer 2

Answer:

-According to the student's work shown, The student needs to distribute 1 and 5$n$ by 4. So, the mistake was that the student did not distributed the 1 and 5$n$, in which the student only distributed the 1.

-The equation: $8n + 4(1+5n)=-6n-14$

-Distributed Incorrectly:

$8n + 4+5n=-6n-14$  (only distributed the 1 by the 4)

-Distributed Correctly:

$8n + 4+20n=-6n-14$  (distributed both 1 and 5$n$ by the 4)

-The correct calculation:

$8n + 4(1+5n)=-6n-14$

$8n + 4+20n=-6n-14$

$12n+4 = -6n -14$

$12n + 4+ 6n=-6n+6n-14$

$18n +4 = -14$

$18n +4 -4 = -14 -4$

$18n = -18$

$\frac{18n}{18}= \frac{-18}{18}$

$n = -1$

The correct answer is $n = -1$ .