2(3p+1)=9p-8

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Solution for 2(3p+1)=9p-8 equation: 


Simplifying
2(3p + 1) = 9p + -8

Reorder the terms:
2(1 + 3p) = 9p + -8
(1 * 2 + 3p * 2) = 9p + -8
(2 + 6p) = 9p + -8

Reorder the terms:
2 + 6p = -8 + 9p

Solving
2 + 6p = -8 + 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 + 6p + -9p = -8 + 9p + -9p

Combine like terms: 6p + -9p = -3p
2 + -3p = -8 + 9p + -9p

Combine like terms: 9p + -9p = 0
2 + -3p = -8 + 0
2 + -3p = -8

Add '-2' to each side of the equation.
2 + -2 + -3p = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -3p = -8 + -2
-3p = -8 + -2

Combine like terms: -8 + -2 = -10
-3p = -10

Divide each side by '-3'.
p = 3.333333333

Simplifying
p = 3.333333333

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