Question

Combine like terms to create an equivalent expression. Make sure to simplify coefficients and constants as well. 2\left(\dfrac{1}{5}m-\dfrac{2}{5}\right)+\dfrac352( 5 1 ​ m− 5 2 ​ )+ 5 3 ​ 2, left parenthesis, start fraction, 1, divided by, 5, end fraction, m, minus, start fraction, 2, divided by, 5, end fraction, right parenthesis, plus, start fraction, 3, divided by, 5, end fraction pls solve 20 pts plus brainilist answer if correct

Answer 1

Answer:

$\dfrac{2m}{5}-\dfrac{1}{5} \:or\: \dfrac{2m-1}{5}$

Step-by-step explanation:

Given the expression

$2\left(\dfrac{1}{5}m-\dfrac{2}{5}\right)+\dfrac35$

STEP 1: Eliminate the brackets

$2\left(\dfrac{1}{5}m-\dfrac{2}{5}\right)+\dfrac35=\dfrac{2}{5}m-\dfrac{4}{5}\right+\dfrac35$

STEP 2: Simplify the constants

$\dfrac{2m}{5}+\dfrac35-\dfrac{4}{5}=\dfrac{2m}{5}+\dfrac{3-4}{5}\\=\dfrac{2m}{5}-\dfrac{1}{5}\\=\dfrac{2m-1}{5}$

Answer 2

Answer:

2/5m - 1/5

Step-by-step explanation:

Given the expression:

2(1/5m-2/5)+3/5

Use the distributive property to multiply the 2 into the parentheses

2(1/5m - 2/5) + 3/5

= 2(1/5m) + 2(2/5) + 3/5

We expanded the expression by multiplying the 2 into both terms in the parentheses.

= 2/5m - 4/5 + 3/5

Add -4/5 + 3/5 = -1/5

= 2/5m - 1/5    

We combined the numeric terms when I added -4/5 + 3/5

So, the expanded expression is: 2/5m - 1/5