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To solve the equation −2(4−n)=24, we will use the distributive property:
−2(4−n) = -2*4 + (-2*-n)
= -8 + 2n
Now we have the equation -8 + 2n = 24.
To isolate the variable, we will add 8 to both sides:
-8 + 2n + 8 = 24 + 8
2n = 32
Finally, to solve for n, we divide both sides by 2:
2n/2 = 32/2
n = 16
Therefore, the solution to the equation is n = 16.