2p+9=3p-6

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Solution for 2p+9=3p-6 equation:


Simplifying
2p + 9 = 3p + -6

Reorder the terms:
9 + 2p = 3p + -6

Reorder the terms:
9 + 2p = -6 + 3p

Solving
9 + 2p = -6 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
9 + 2p + -3p = -6 + 3p + -3p

Combine like terms: 2p + -3p = -1p
9 + -1p = -6 + 3p + -3p

Combine like terms: 3p + -3p = 0
9 + -1p = -6 + 0
9 + -1p = -6

Add '-9' to each side of the equation.
9 + -9 + -1p = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -1p = -6 + -9
-1p = -6 + -9

Combine like terms: -6 + -9 = -15
-1p = -15

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

Simplifying
p = 15

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