2p+3(1-3p)=-6(p-2)+2p

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Solution for 2p+3(1-3p)=-6(p-2)+2p equation: 


Simplifying
2p + 3(1 + -3p) = -6(p + -2) + 2p
2p + (1 * 3 + -3p * 3) = -6(p + -2) + 2p
2p + (3 + -9p) = -6(p + -2) + 2p

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

Combine like terms: 2p + -9p = -7p
3 + -7p = -6(p + -2) + 2p

Reorder the terms:
3 + -7p = -6(-2 + p) + 2p
3 + -7p = (-2 * -6 + p * -6) + 2p
3 + -7p = (12 + -6p) + 2p

Combine like terms: -6p + 2p = -4p
3 + -7p = 12 + -4p

Solving
3 + -7p = 12 + -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.
3 + -7p + 4p = 12 + -4p + 4p

Combine like terms: -7p + 4p = -3p
3 + -3p = 12 + -4p + 4p

Combine like terms: -4p + 4p = 0
3 + -3p = 12 + 0
3 + -3p = 12

Add '-3' to each side of the equation.
3 + -3 + -3p = 12 + -3

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

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

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

Simplifying
p = -3

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