Solve for p 10p-2(3p-6)=4(3p-6)-8p

Math
10p-2(3p-6)=4(3p-6)-8p
Simplify 10p-2(3p-6).
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Simplify each term.
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Apply the distributive property.
10p-2(3p)-2⋅-6=4(3p-6)-8p
Multiply 3 by -2.
10p-6p-2⋅-6=4(3p-6)-8p
Multiply -2 by -6.
10p-6p+12=4(3p-6)-8p
10p-6p+12=4(3p-6)-8p
Subtract 6p from 10p.
4p+12=4(3p-6)-8p
4p+12=4(3p-6)-8p
Simplify 4(3p-6)-8p.
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Simplify each term.
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Apply the distributive property.
4p+12=4(3p)+4⋅-6-8p
Multiply 3 by 4.
4p+12=12p+4⋅-6-8p
Multiply 4 by -6.
4p+12=12p-24-8p
4p+12=12p-24-8p
Subtract 8p from 12p.
4p+12=4p-24
4p+12=4p-24
Move all terms containing p to the left side of the equation.
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Subtract 4p from both sides of the equation.
4p+12-4p=-24
Combine the opposite terms in 4p+12-4p.
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Subtract 4p from 4p.
0+12=-24
Add 0 and 12.
12=-24
12=-24
12=-24
Since 12≠-24, there are no solutions.
No solution
Solve for p 10p-2(3p-6)=4(3p-6)-8p

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