2p+9=6p-27

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Solution for 2p+9=6p-27 equation:


Simplifying
2p + 9 = 6p + -27

Reorder the terms:
9 + 2p = 6p + -27

Reorder the terms:
9 + 2p = -27 + 6p

Solving
9 + 2p = -27 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
9 + 2p + -6p = -27 + 6p + -6p

Combine like terms: 2p + -6p = -4p
9 + -4p = -27 + 6p + -6p

Combine like terms: 6p + -6p = 0
9 + -4p = -27 + 0
9 + -4p = -27

Add '-9' to each side of the equation.
9 + -9 + -4p = -27 + -9

Combine like terms: 9 + -9 = 0
0 + -4p = -27 + -9
-4p = -27 + -9

Combine like terms: -27 + -9 = -36
-4p = -36

Divide each side by '-4'.
p = 9

Simplifying
p = 9

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