If -2 is the solution of the equation 2x + 1 - 3c = 2c + 3x - 7, find the value of c.
The correct answer is C. 2
Let's find the value of c given that -2 is the solution of the equation 2x + 1 - 3c = 2c + 3x - 7.
Substituting -2 for x in the equation, we get
2(-2) + 1 - 3c = 2c + 3(-2) - 7
-4 + 1 - 3c = 2c - 6 - 7.
Combining like terms, we get:
-3 - 3c = 2c - 13.
Adding 3c to both sides, we get
-3 = 5c - 13.
10 = 5c,
c = 10/5 = 2.
So, the value of c is 2
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