Answer/Step-by-step explanation:
4(5n + 7) - 3n = 3(4n - 9)
20n + 28 - 3n = 12n - 27
17n + 28 = 12n - 27
-12n -12n
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5n + 28 = -27
-28 -28
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5n = -55
÷5 ÷5
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n = -11
The reason why n = -11 is the answer is that when plugged back into the equation, the equation will equal.
4(5n + 7) - 3n = 3(4n - 9)
4(5(-11) + 7) - 3(-11) = 3(4(-11) - 9)
4(-55 + 7) + 33 = 3(-44 - 9)
4(-48) + 33 = 3(-53)
-192 + 33 = -159
-159 = -159
I hope this helps!