2p+2=-4(p-2)-3(1+2p)

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Solution for 2p+2=-4(p-2)-3(1+2p) equation: 


Simplifying
2p + 2 = -4(p + -2) + -3(1 + 2p)

Reorder the terms:
2 + 2p = -4(p + -2) + -3(1 + 2p)

Reorder the terms:
2 + 2p = -4(-2 + p) + -3(1 + 2p)
2 + 2p = (-2 * -4 + p * -4) + -3(1 + 2p)
2 + 2p = (8 + -4p) + -3(1 + 2p)
2 + 2p = 8 + -4p + (1 * -3 + 2p * -3)
2 + 2p = 8 + -4p + (-3 + -6p)

Reorder the terms:
2 + 2p = 8 + -3 + -4p + -6p

Combine like terms: 8 + -3 = 5
2 + 2p = 5 + -4p + -6p

Combine like terms: -4p + -6p = -10p
2 + 2p = 5 + -10p

Solving
2 + 2p = 5 + -10p

Solving for variable 'p'.

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

Add '10p' to each side of the equation.
2 + 2p + 10p = 5 + -10p + 10p

Combine like terms: 2p + 10p = 12p
2 + 12p = 5 + -10p + 10p

Combine like terms: -10p + 10p = 0
2 + 12p = 5 + 0
2 + 12p = 5

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

Combine like terms: 2 + -2 = 0
0 + 12p = 5 + -2
12p = 5 + -2

Combine like terms: 5 + -2 = 3
12p = 3

Divide each side by '12'.
p = 0.25

Simplifying
p = 0.25

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