Answer
n = 21
Work Step by Step
3(n - 5) - (6 - 2n) = 4n
Apply distributive property:
3(n) + 3(-5) - 6 - (-2n) = 4n
3n - 15 - 6 + 2n = 4n
Combine like terms:
5n - 21 = 4n
Subtract 4n from both sides:
n - 21 = 0
Add 21 from both sides:
n = 21
Check with substitution:
3(21 - 5) - (6 - 2(21)) = 4(21)
3(16) - (6 - 42) = 84
48 - (-36) = 84
84 = 84