Question

solve 2n+4-3n=8(n-1)​

Answer 1

Step-by-step explanation:

Simplifying

2n + -4 + -3n = 8

Reorder the terms:

-4 + 2n + -3n = 8

Combine like terms: 2n + -3n = -1n

-4 + -1n = 8

Solving

-4 + -1n = 8

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + -1n = 8 + 4

Combine like terms: -4 + 4 = 0

0 + -1n = 8 + 4

-1n = 8 + 4

Combine like terms: 8 + 4 = 12

-1n = 12

Divide each side by '-1'.

n = -12

Simplifying

n = -12

Answer 2

$2n + 4 - 3n = 8(n - 1)$

$\implies 4 - n = 8n -8$

$\implies - n - 8n = -8 - 4$

$\implies - 9n = -12$

$\implies 9n = 12$

$\implies n = \frac{12}{9}$

$\orange{\therefore n = \frac{4}{3} }$