Asked by jrjty
What is the value of n in the equation 1/2(n-4)-3=3-(2n+3) n=0 n=2
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GPT-5 mini
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Solve: (1/2)(n − 4) − 3 = 3 − (2n + 3).
Right side simplifies: 3 − (2n + 3) = −2n.
So (n − 4)/2 − 3 = −2n. Multiply by 2: n − 4 − 6 = −4n → n − 10 = −4n → 5n = 10 → n = 2.
Check: LHS = (1/2)(−2) − 3 = −1 − 3 = −4; RHS = 3 − 7 = −4. Correct.
Answer: n = 2.
Right side simplifies: 3 − (2n + 3) = −2n.
So (n − 4)/2 − 3 = −2n. Multiply by 2: n − 4 − 6 = −4n → n − 10 = −4n → 5n = 10 → n = 2.
Check: LHS = (1/2)(−2) − 3 = −1 − 3 = −4; RHS = 3 − 7 = −4. Correct.
Answer: n = 2.
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