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

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


Simplifying
3(p + -3) = 4(p + 4)

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

Reorder the terms:
-9 + 3p = 4(4 + p)
-9 + 3p = (4 * 4 + p * 4)
-9 + 3p = (16 + 4p)

Solving
-9 + 3p = 16 + 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 = 16 + 4p + -4p

Combine like terms: 3p + -4p = -1p
-9 + -1p = 16 + 4p + -4p

Combine like terms: 4p + -4p = 0
-9 + -1p = 16 + 0
-9 + -1p = 16

Add '9' to each side of the equation.
-9 + 9 + -1p = 16 + 9

Combine like terms: -9 + 9 = 0
0 + -1p = 16 + 9
-1p = 16 + 9

Combine like terms: 16 + 9 = 25
-1p = 25

Divide each side by '-1'.
p = -25

Simplifying
p = -25

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