-12a+3(2a+1)=-6a
-12a+3(2a+1)=-6a
-12a + 6a + 3 = -6a
3 = -6a + 12a - 6a
3 = 12a
3/12 = 1/4 = a
-12a + 6a + 3 = -6a
-12a + 6a + 6a = -3
0 = -3 ???
This equation has no solution.
Thanks, Reiny. You are right. I'm wrong.
To solve this equation, we need to simplify the expressions on both sides and then isolate the variable, "a".
Let's go step by step:
1. Distribute the 3 to the terms inside the parentheses:
-12a + 3(2a+1) = -6a
-12a + 6a + 3 = -6a (multiply 3 by 2a and 1 using the distributive property)
-12a + 6a + 3 = -6a
2. Combine like terms:
(-12a + 6a) + 3 = -6a
-6a + 3 = -6a
3. Move all terms involving "a" to one side of the equation:
-6a + 3 + 6a = 0 (added 6a to both sides)
3 = 0
4. Analyzing the result:
In this case, we found that the equation leads to a contradiction (3 = 0), which means there is no valid solution for "a" that satisfies the equation. This suggests that the original equation is inconsistent, and there is no value of "a" that makes it true.
Therefore, the solution to the equation -12a + 3(2a+1) = -6a is "No solution."