Mathematics: Solve the equation (If possible please show work)

Solve the equation (If possible please show work) - id7263463, lorenaandreahjimenez

SethSimunek

31.01.2022

$\boxed{ \bold{ \huge{ \boxed{ \sf{n = 1}}}}}$

Step-by-step explanation:

$\sf{2 - 4n = 2 - 4(3 - 2n)}$

Distribute 4 through the parentheses

⇒ $\sf{ 2 - 4n = 2 - 12 + 8n}$

Move 8n to left hand side and change it's sign

⇒ $\sf{2 - 4n - 8n = 2 - 12}$

Collect like terms

⇒ $\sf{2 - 12n = 2 - 12}$

Move 2 to right hand side and change it's sign

⇒ $\sf{ - 12n = 2 - 12 - 2}$

Calculate

⇒ $\sf{ - 12n = - 12}$

Divide both sides of the equation by -12

⇒ $\sf{ \frac{ - 12n}{ - 12} = \frac{ - 12}{ - 12} }$

Calculate

⇒ $\sf{n = 1}$

Hope I helped!

Best regards!!

0,0(0 оценок)