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Artyom0805 [142]
3 years ago
7

Solve. 7w - 12 = 44 w = *

Mathematics
1 answer:
makvit [3.9K]3 years ago
6 0

Answer:

\huge{ \boxed{ \bold{ \text{w = \: 8}}}}

<h3>☃ Question : Solve for w</h3>

\text{7w - 12 = 44 }

<h3>✎ Step by step explanation </h3>

\text{7w - 12 = 44}

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

\longrightarrow{ \sf{7w = 44 + 12}}

Add the numbers : 44 and 12

\longrightarrow{ \sf{7w = 56}}

Divide both sides by 7

\longrightarrow{ \sf{ \frac{7w}{7}  =  \frac{56}{7}}}

\longrightarrow{ \boxed{ \bold{ \red{ \sf{w = 8}}}}}

--------------------------------------------------------------------

☟ Let's check whether the value of w is 8 or not !

<h3>✑ Verification :</h3>

L.H.S ( Left hand side ) :

\dashrightarrow{ \sf{7w - 12}}

plug the value of w and simplify

\dashrightarrow{ \sf{7 \times 8 - 12}}

\dashrightarrow{ \sf{56 - 12}}

\dashrightarrow{ \sf{ 44}}

R.H.S ( Right Hand Side ) = 44

L.H.S = R.H.S ( Hence , the value of w is 8 ).

-----------------------------------------------------------------

<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

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