Question

Solve for n.
-9 + 8n - 7n = 1 + 3n

Answer 1

Answer:

n = -5

Step-by-step explanation:

-9 + 8n - 7n = 1 + 3n

- 9 + n = 1 + 3n

Subtracting both sides by n (to move it from LHS to RHS):

-9 + n - n = 1 + 3n - n

-9 = 1 + 2n

Subtracting both sides by 1 (to move it from RHS to LHS):

-9 - 1 = 1 - 1 + 2n

-10 = 2n

2n = -10

Dividing both sides by 2 to make the co-efficient of n, 1:

2n/2 = -10/2

n = -5

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer 2

Answer:

n = -5

Step-by-step explanation:

-9 + 8n - 7n = 1 + 3n

Combine like terms.

-9 + n = 1 + 3n

Subtract 3n from both sides.

-9 - 2n = 1

Add 9 to both sides.

-2n = 10

Divide both sides by -2.

n = -5.

Proof:

-9 + 8n - 7n = 1 + 3n

Substitute variable.

-9 + 8(-5) - 7(-5) = 1 + 3(-5)

Multiply 8 and -5.

-9 - 40 - 7(-5) = 1 + 3(-5)

Multiply -7 and -5.

-9 - 40 + 35 = 1 + 3(-5)

Multiply 3 and -5.

-9 - 40 + 35 = 1 - 15

Subtract 40 from -9.

-49 + 35 = 1 - 15

Add -49 and 35.

-14 = 1 - 15

Subtract 15 from 1.

-14 = -14