Question

Solve -4n+14= -2(n-5)

Answer 1

`\huge{ \bold{ \boxed{ \tt{n = 2}}}}`

Explanation:

`\text{ - 4n + 14 = - 2(n - 5)}`

Distribute -2 through the parentheses

`\text{↦ - 4n + 14 = - 2n + 10}`

Move 2n to right hand side and change it's sign

`\text{↦ \: - 4n + 2n + 14 = 10}`

Move 14 to right hand side and change it's sign

`\text{↦ \: - 4n + 2n = 10 - 14}`

Combine like terms

`\text{↦ \: - 2n = 10 - 14}`

Remember : The negative and positive integers are always subtracted but posses the sign of bigger integer.

`\text{↦ \: - 2n = - 4}`

Divide both sides by -2

`\rm{↦ \: ( - 2n)/( - 2) = ( - 4)/( - 2)}`

`\text{↦ \: n = 2}`

The value of n is 2 .

Hope I helped!

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~TheAnimeGirl