Question

4(4 -8n) -7n = -30 + 7n

Answer 1

Answer: n = 1

Explanation:

Using the distributive law, multiply 4 by what's in the bracket.

(4)(4) -(8n)(4) -7n = -30 + 7n

16 -32n -7n = -30 + 7n

Group all like terms together. Once a (+ve) number goes over the equal sign it now becomes a (-ve) number, vise versa.

16 +30 = 32n + 7n + 7n

46 = 46n

Now we need to find for n. 46n can also be written as 46 multiply by n. When a multiplication sign goes over the equal sign, the sign changes to a division sign.

46 = 46n

46/46 = n

1 = n

Answer 2

n=1

Explanation:

Use the distributive property to multiply 4 by 4−8n.

16−32n−7n=−30+7n

Combine −32n and −7n to get −39n.

16−39n=−30+7n

Subtract 7n from both sides.

16−39n−7n=−30

Combine −39n and −7n to get −46n.

16−46n=−30

Subtract 16 from both sides.

−46n=−30−16

Subtract 16 from −30 to get −46.

−46n=−46

Divide both sides by −46.

n=−46/−46

Divide −46 by −46 to get 1.

n=1