Respuesta :

Answer:

Infinitely many solutions.

Step-by-step explanation:

2 (n - 1) + 4n = 2 (3n - 1) Let's simplify this to solve it.

2n - 2 + 4n = 6n - 2 Distribute 2(n-1) and 2(3n-1)

2n + 4n - 2 = 6n - 2 Rearrange the left side of the equation.

6n - 2 = 6n - 2 Add 2n + 4n.

-6n        -6n Subtract 6n from both sides.

-2 = -2? Yes, -2 equals -2.

Therefore, the answer is infinitely many solutions, meaning that n can be any real number.

An equation can have no solution, one solution or infinitely many solutions.

The equation [tex]2(n -1) + 4n = 2(3n - 1)[/tex] has infinitely many solutions

Given that:

[tex]2(n -1) + 4n = 2(3n - 1)[/tex]

Open brackets

[tex]2n -2 + 4n = 6n - 2[/tex]

Collect like terms

[tex]2n + 4n - 6n= - 2+2[/tex]

[tex]0 = 0[/tex]

When the solution to an equation is 0 on both sides, the equation has infinitely many solutions

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