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

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


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

Reorder the terms:
4(4 + 3p) = -2(2p + 8)
(4 * 4 + 3p * 4) = -2(2p + 8)
(16 + 12p) = -2(2p + 8)

Reorder the terms:
16 + 12p = -2(8 + 2p)
16 + 12p = (8 * -2 + 2p * -2)
16 + 12p = (-16 + -4p)

Solving
16 + 12p = -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.
16 + 12p + 4p = -16 + -4p + 4p

Combine like terms: 12p + 4p = 16p
16 + 16p = -16 + -4p + 4p

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

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

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

Combine like terms: -16 + -16 = -32
16p = -32

Divide each side by '16'.
p = -2

Simplifying
p = -2

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