Solve the equation:

\[ 10p - 2(3p - 6) = 4(3p - 6) - 8p \]

10 p − 2 ( 3 p − 6 ) = 4 ( 3 p − 6 ) − 8 p ∣ o mi t in g t h e b r a c k e t s 10 p − 6 p + 12 = 12 p + 24 − 8 p 4 p + 12 = 4 p + 24 ∣ s u b r a c t 4 p 12  = 24 T h ere a re n o so l u t i o n s .

Answered by luana | 2024-06-10

For the equation 10 p − 2 ( 3 p − 6 ) = 4 ( 3 p − 6 ) − 8 p , there is no solution.
The given equation is 10 p − 2 ( 3 p − 6 ) = 4 ( 3 p − 6 ) − 8 p .
Let us solve for p, apply distributive property:
10 p − 6 p + 12 = 12 p − 24 − 8 p
4 p + 12 = 4 p − 24
Add 24 from both sides and subtract 12 from both sides:
4 p − 4 p = − 24 − 12
0 = − 36
Hence, the equation does not have solution .
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Answered by pukhrajvt | 2024-06-18

The equation 10 p − 2 ( 3 p − 6 ) = 4 ( 3 p − 6 ) − 8 p simplifies to an impossible statement of 12 = − 24 . This means there is no solution to the equation. Therefore, the equation does not yield any valid value for p .
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Answered by pukhrajvt | 2024-12-26