Question

Solve. 7w - 12 = 44 w = *

Answer 1

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

☃ Question : Solve for w

`\text{7w - 12 = 44 }`

✎ Step by step explanation

`\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{ (7w)/(7) = (56)/(7)}}`

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

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

✑ Verification :

L.H.S ( Left hand side ) :

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

plug the value of w and simplify

`\dashrightarrow{ \sf{7 * 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 ).

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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