3p+2=3(2p-4)+8

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Solution for 3p+2=3(2p-4)+8 equation:


Simplifying
3p + 2 = 3(2p + -4) + 8

Reorder the terms:
2 + 3p = 3(2p + -4) + 8

Reorder the terms:
2 + 3p = 3(-4 + 2p) + 8
2 + 3p = (-4 * 3 + 2p * 3) + 8
2 + 3p = (-12 + 6p) + 8

Reorder the terms:
2 + 3p = -12 + 8 + 6p

Combine like terms: -12 + 8 = -4
2 + 3p = -4 + 6p

Solving
2 + 3p = -4 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
2 + 3p + -6p = -4 + 6p + -6p

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

Combine like terms: 6p + -6p = 0
2 + -3p = -4 + 0
2 + -3p = -4

Add '-2' to each side of the equation.
2 + -2 + -3p = -4 + -2

Combine like terms: 2 + -2 = 0
0 + -3p = -4 + -2
-3p = -4 + -2

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

Divide each side by '-3'.
p = 2

Simplifying
p = 2

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