-2p+9=3(4-p)

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Solution for -2p+9=3(4-p) equation: 


Simplifying
-2p + 9 = 3(4 + -1p)

Reorder the terms:
9 + -2p = 3(4 + -1p)
9 + -2p = (4 * 3 + -1p * 3)
9 + -2p = (12 + -3p)

Solving
9 + -2p = 12 + -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 = 12 + -3p + 3p

Combine like terms: -2p + 3p = 1p
9 + 1p = 12 + -3p + 3p

Combine like terms: -3p + 3p = 0
9 + 1p = 12 + 0
9 + 1p = 12

Add '-9' to each side of the equation.
9 + -9 + 1p = 12 + -9

Combine like terms: 9 + -9 = 0
0 + 1p = 12 + -9
1p = 12 + -9

Combine like terms: 12 + -9 = 3
1p = 3

Divide each side by '1'.
p = 3

Simplifying
p = 3

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