Answer:
[tex] \huge{ \boxed{ \bold{ \text{w = \: 8}}}}[/tex]
☃ Question : Solve for w
[tex] \text{7w - 12 = 44 }[/tex]
✎ Step by step explanation
[tex] \text{7w - 12 = 44}[/tex]
Move 12 to right hand side and change it's sign
[tex] \longrightarrow{ \sf{7w = 44 + 12}}[/tex]
Add the numbers : 44 and 12
[tex] \longrightarrow{ \sf{7w = 56}}[/tex]
Divide both sides by 7
[tex] \longrightarrow{ \sf{ \frac{7w}{7} = \frac{56}{7}}} [/tex]
[tex] \longrightarrow{ \boxed{ \bold{ \red{ \sf{w = 8}}}}}[/tex]
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☟ Let's check whether the value of w is 8 or not !
✑ Verification :
L.H.S ( Left hand side ) :
[tex] \dashrightarrow{ \sf{7w - 12}}[/tex]
plug the value of w and simplify
[tex] \dashrightarrow{ \sf{7 \times 8 - 12}}[/tex]
[tex] \dashrightarrow{ \sf{56 - 12}}[/tex]
[tex] \dashrightarrow{ \sf{ 44}}[/tex]
R.H.S ( Right Hand Side ) = 44
L.H.S = R.H.S ( Hence , the value of w is 8 ).
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☄ Rules for solving an equation :
- 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
