5p+2=3(3p-4)

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Solution for 5p+2=3(3p-4) equation: 


Simplifying
5p + 2 = 3(3p + -4)

Reorder the terms:
2 + 5p = 3(3p + -4)

Reorder the terms:
2 + 5p = 3(-4 + 3p)
2 + 5p = (-4 * 3 + 3p * 3)
2 + 5p = (-12 + 9p)

Solving
2 + 5p = -12 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
2 + 5p + -9p = -12 + 9p + -9p

Combine like terms: 5p + -9p = -4p
2 + -4p = -12 + 9p + -9p

Combine like terms: 9p + -9p = 0
2 + -4p = -12 + 0
2 + -4p = -12

Add '-2' to each side of the equation.
2 + -2 + -4p = -12 + -2

Combine like terms: 2 + -2 = 0
0 + -4p = -12 + -2
-4p = -12 + -2

Combine like terms: -12 + -2 = -14
-4p = -14

Divide each side by '-4'.
p = 3.5

Simplifying
p = 3.5

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