p-6(2p-4)=4p+9

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Solution for p-6(2p-4)=4p+9 equation:


Simplifying
p + -6(2p + -4) = 4p + 9

Reorder the terms:
p + -6(-4 + 2p) = 4p + 9
p + (-4 * -6 + 2p * -6) = 4p + 9
p + (24 + -12p) = 4p + 9

Reorder the terms:
24 + p + -12p = 4p + 9

Combine like terms: p + -12p = -11p
24 + -11p = 4p + 9

Reorder the terms:
24 + -11p = 9 + 4p

Solving
24 + -11p = 9 + 4p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-4p' to each side of the equation.
24 + -11p + -4p = 9 + 4p + -4p

Combine like terms: -11p + -4p = -15p
24 + -15p = 9 + 4p + -4p

Combine like terms: 4p + -4p = 0
24 + -15p = 9 + 0
24 + -15p = 9

Add '-24' to each side of the equation.
24 + -24 + -15p = 9 + -24

Combine like terms: 24 + -24 = 0
0 + -15p = 9 + -24
-15p = 9 + -24

Combine like terms: 9 + -24 = -15
-15p = -15

Divide each side by '-15'.
p = 1

Simplifying
p = 1

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