What is the value of n in the equation 1/2(n-4)-3=3-(2n+3)

2

We first use the distributive property on both sides:

1/2(n)-1/2(4)-3 = 3-(2n)-(3)

1/2n - 2 - 3 = 3 - 2n - 3

Combining like terms on both sides,

1/2n - 5 = -2n

Subtracting 1/2n from both sides:

1/2n - 5 - 1/2n = -2n - 1/2n

-5 = (-2 1/2)n

Divide both sides by -2 1/2:

-5/(-2 1/2) = (-2 1/2)n/(-2 1/2)

2 = n

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