6(p+10)-3(2p+12)=-4P-4

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Solution for 6(p+10)-3(2p+12)=-4P-4 equation: 


Simplifying
6(p + 10) + -3(2p + 12) = -4P + -4

Reorder the terms:
6(10 + p) + -3(2p + 12) = -4P + -4
(10 * 6 + p * 6) + -3(2p + 12) = -4P + -4
(60 + 6p) + -3(2p + 12) = -4P + -4

Reorder the terms:
60 + 6p + -3(12 + 2p) = -4P + -4
60 + 6p + (12 * -3 + 2p * -3) = -4P + -4
60 + 6p + (-36 + -6p) = -4P + -4

Reorder the terms:
60 + -36 + 6p + -6p = -4P + -4

Combine like terms: 60 + -36 = 24
24 + 6p + -6p = -4P + -4

Combine like terms: 6p + -6p = 0
24 + 0 = -4P + -4
24 = -4P + -4

Reorder the terms:
24 = -4 + -4P

Solving
24 = -4 + -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.
24 + 4P = -4 + -4P + 4P

Combine like terms: -4P + 4P = 0
24 + 4P = -4 + 0
24 + 4P = -4

Add '-24' to each side of the equation.
24 + -24 + 4P = -4 + -24

Combine like terms: 24 + -24 = 0
0 + 4P = -4 + -24
4P = -4 + -24

Combine like terms: -4 + -24 = -28
4P = -28

Divide each side by '4'.
P = -7

Simplifying
P = -7

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