3p+2=-10(-p-10)+(4-4p)

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Solution for 3p+2=-10(-p-10)+(4-4p) equation: 


Simplifying
3p + 2 = -10(-1p + -10) + (4 + -4p)

Reorder the terms:
2 + 3p = -10(-1p + -10) + (4 + -4p)

Reorder the terms:
2 + 3p = -10(-10 + -1p) + (4 + -4p)
2 + 3p = (-10 * -10 + -1p * -10) + (4 + -4p)
2 + 3p = (100 + 10p) + (4 + -4p)

Remove parenthesis around (4 + -4p)
2 + 3p = 100 + 10p + 4 + -4p

Reorder the terms:
2 + 3p = 100 + 4 + 10p + -4p

Combine like terms: 100 + 4 = 104
2 + 3p = 104 + 10p + -4p

Combine like terms: 10p + -4p = 6p
2 + 3p = 104 + 6p

Solving
2 + 3p = 104 + 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 = 104 + 6p + -6p

Combine like terms: 3p + -6p = -3p
2 + -3p = 104 + 6p + -6p

Combine like terms: 6p + -6p = 0
2 + -3p = 104 + 0
2 + -3p = 104

Add '-2' to each side of the equation.
2 + -2 + -3p = 104 + -2

Combine like terms: 2 + -2 = 0
0 + -3p = 104 + -2
-3p = 104 + -2

Combine like terms: 104 + -2 = 102
-3p = 102

Divide each side by '-3'.
p = -34

Simplifying
p = -34

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