Question
Find the value of n in the equation shown :
(n-4)/2 - 7 = -2n+6
Hint:
An equation with variables on both sides of the "equal to" sign i.e. on LHS and RHS can be solved by first simplifying both the sides (Opening up the brackets, addition, subtraction, i.e. if any) and then all the variables are taken on 1 side of the equation and all the constants i.e. numbers on the other side. Both sides are then simplified further and the solution is obtained
The correct answer is: Value of n for the given equation is 6.
Step-by-step solution:-
(n - 4)/2 - 7 = -2n+6
∴ (n - 4)/2 = -2n + 6 + 7 .................................... (Taking all constants on RHS)
∴ n - 4 = -4n + 12 + 14 ................................ (Multiplying both sides by 2)
∴ n + 4n = 12 + 14 + 4 …................................. (Taking all variables and constants on either sides of the equation)
∴ 5n = 30
∴ n = 30/5 ............................................. (Dividing both sides by 5)
∴ n = 6
Final Answer:-
∴ Value of n for the given equation is 6.
∴ (n - 4)/2 = -2n + 6 + 7 .................................... (Taking all constants on RHS)
∴ n - 4 = -4n + 12 + 14 ................................ (Multiplying both sides by 2)
∴ n + 4n = 12 + 14 + 4 …................................. (Taking all variables and constants on either sides of the equation)
∴ 5n = 30
∴ n = 30/5 ............................................. (Dividing both sides by 5)
∴ n = 6
Final Answer:-
∴ Value of n for the given equation is 6.
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