2p+1=3p-9

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Solution for 2p+1=3p-9 equation:


Simplifying
2p + 1 = 3p + -9

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

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

Solving
1 + 2p = -9 + 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.
1 + 2p + -3p = -9 + 3p + -3p

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

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

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

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

Combine like terms: -9 + -1 = -10
-1p = -10

Divide each side by '-1'.
p = 10

Simplifying
p = 10

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