-2p-5(4-2p)=5(p-6)-2

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Solution for -2p-5(4-2p)=5(p-6)-2 equation:


Simplifying
-2p + -5(4 + -2p) = 5(p + -6) + -2
-2p + (4 * -5 + -2p * -5) = 5(p + -6) + -2
-2p + (-20 + 10p) = 5(p + -6) + -2

Reorder the terms:
-20 + -2p + 10p = 5(p + -6) + -2

Combine like terms: -2p + 10p = 8p
-20 + 8p = 5(p + -6) + -2

Reorder the terms:
-20 + 8p = 5(-6 + p) + -2
-20 + 8p = (-6 * 5 + p * 5) + -2
-20 + 8p = (-30 + 5p) + -2

Reorder the terms:
-20 + 8p = -30 + -2 + 5p

Combine like terms: -30 + -2 = -32
-20 + 8p = -32 + 5p

Solving
-20 + 8p = -32 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
-20 + 8p + -5p = -32 + 5p + -5p

Combine like terms: 8p + -5p = 3p
-20 + 3p = -32 + 5p + -5p

Combine like terms: 5p + -5p = 0
-20 + 3p = -32 + 0
-20 + 3p = -32

Add '20' to each side of the equation.
-20 + 20 + 3p = -32 + 20

Combine like terms: -20 + 20 = 0
0 + 3p = -32 + 20
3p = -32 + 20

Combine like terms: -32 + 20 = -12
3p = -12

Divide each side by '3'.
p = -4

Simplifying
p = -4

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