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Question

Which of the following values of ‘n’ is a solution to the equation 2n - 4 = 4?

A
-4
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B
2
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C
3
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D
4
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Solution

The correct option is D 4
The value of the variable which satisfies the equation, i.e., makes LHS = RHS, is known as the solution to that equation.

For n = 2,
2(2) - 4 = 4
4 - 4 = 4
0 = 4
LHS ≠ RHS

For n = 4,
2(4) - 4 = 4
8 - 4 = 4
4 = 4
LHS = RHS

For n = 3,
2(3) - 4 = 4
6 - 4 = 4
2 = 4
LHS ≠ RHS

For n = -4
2(-4) - 4 = 4
-8 - 4 = 4
-12 = 4
LHS ≠ RHS

So the solution to the equation is n = 4.

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