Respuesta :

Given:

0.2(4n + 3) = 2.2

Let's solve for n:

First Step:

Use distributive property to expand the parenthesis

0.2*4n + 0.2*3 = 2.2

0.8n + 0.6 = 2.2

Second Step:

Subtract 0.6 from both sides

0.8n + 0.6 - 0.6 = 2.2 - 0.6

0.8n = 1.6

Third Step:

Divide both sides by 0.8

[tex]\begin{gathered} \frac{0.8n}{0.8}=\frac{1.6}{0.8} \\ \\ n\text{ = }2 \end{gathered}[/tex]

ANSWER:

n = 2

Let's confirm the answer:

Input 2 for n in the equation

0.2(4*2 + 3) = 2.2

0.2(8 + 3) = 2.2

1.6 + 0.6 = 2.2

2.2 = 2.2

Since the left side equate the right side, the answer is correct.

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