Answer:

<h3>
☃ Question : Solve for w</h3>

<h3>✎
Step by step explanation </h3>

Move 12 to right hand side and change it's sign

Add the numbers : 44 and 12

Divide both sides by 7


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☟ Let's check whether the value of w is 8 or not !
<h3>✑ Verification :</h3>
L.H.S ( Left hand side ) :

plug the value of w and simplify



R.H.S ( Right Hand Side ) = 44
L.H.S = R.H.S ( Hence , the value of w is 8 ).
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<h3>☄
Rules for solving an equation :</h3>
- If an equation contains fractions , multiply each term by the LCM of denominators.
- Remove the brackets , if any.
- Collect the terms with the variable to the left hand side and constant terms to the right hand side by changing their signs ' + ' into ' - ' and ' - ' into ' + ' .
- Simplify and get the single term on each side.
- Divide each side by the coefficient of variable and then get the value of variable.
Hope I helped !
Have a wonderful time ! ツ
~ TheAnimeGirl