3(p-3)=2(2p+1)

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Solution for 3(p-3)=2(2p+1) equation:


Simplifying
3(p + -3) = 2(2p + 1)

Reorder the terms:
3(-3 + p) = 2(2p + 1)
(-3 * 3 + p * 3) = 2(2p + 1)
(-9 + 3p) = 2(2p + 1)

Reorder the terms:
-9 + 3p = 2(1 + 2p)
-9 + 3p = (1 * 2 + 2p * 2)
-9 + 3p = (2 + 4p)

Solving
-9 + 3p = 2 + 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.
-9 + 3p + -4p = 2 + 4p + -4p

Combine like terms: 3p + -4p = -1p
-9 + -1p = 2 + 4p + -4p

Combine like terms: 4p + -4p = 0
-9 + -1p = 2 + 0
-9 + -1p = 2

Add '9' to each side of the equation.
-9 + 9 + -1p = 2 + 9

Combine like terms: -9 + 9 = 0
0 + -1p = 2 + 9
-1p = 2 + 9

Combine like terms: 2 + 9 = 11
-1p = 11

Divide each side by '-1'.
p = -11

Simplifying
p = -11

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