Question

Combine like terms to create an equivalent expression. 17−3(37n−27)71 −3( 73 n− 72)

Answer 1

Answer:

Step-by-step explanation:

Given : Expression To find : Combine like terms to create an equivalent expression ?Solution : Step 1 - Write the expression,Step 2 - Apply distributive property, Step 3 - Combine like terms,Therefore,  

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Answer 2

Answer:

$\frac{1}{7}-3(\frac{3}{7}n-\frac{2}{7})=1-\frac{9}{7}n$

Step-by-step explanation:

Given : Expression $\frac{1}{7}-3(\frac{3}{7}n-\frac{2}{7})$

To find : Combine like terms to create an equivalent expression ?

Solution :

Step 1 - Write the expression,

$\frac{1}{7}-3(\frac{3}{7}n-\frac{2}{7})$

Step 2 - Apply distributive property, $a(b+c)=ab+ac$

$=\frac{1}{7}-3\times \frac{3}{7}n+3\times \frac{2}{7}$

$=\frac{1}{7}-\frac{9}{7}n+\frac{6}{7}$

Step 3 - Combine like terms,

$=\frac{1}{7}+\frac{6}{7}-\frac{9}{7}n$

$=\frac{1+6}{7}-\frac{9}{7}n$

$=\frac{7}{7}-\frac{9}{7}n$

$=1-\frac{9}{7}n$

Therefore,  $\frac{1}{7}-3(\frac{3}{7}n-\frac{2}{7})=1-\frac{9}{7}n$