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

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


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

Reorder the terms:
-20 + -2p + 10p = 6(p + -4) + -4

Combine like terms: -2p + 10p = 8p
-20 + 8p = 6(p + -4) + -4

Reorder the terms:
-20 + 8p = 6(-4 + p) + -4
-20 + 8p = (-4 * 6 + p * 6) + -4
-20 + 8p = (-24 + 6p) + -4

Reorder the terms:
-20 + 8p = -24 + -4 + 6p

Combine like terms: -24 + -4 = -28
-20 + 8p = -28 + 6p

Solving
-20 + 8p = -28 + 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.
-20 + 8p + -6p = -28 + 6p + -6p

Combine like terms: 8p + -6p = 2p
-20 + 2p = -28 + 6p + -6p

Combine like terms: 6p + -6p = 0
-20 + 2p = -28 + 0
-20 + 2p = -28

Add '20' to each side of the equation.
-20 + 20 + 2p = -28 + 20

Combine like terms: -20 + 20 = 0
0 + 2p = -28 + 20
2p = -28 + 20

Combine like terms: -28 + 20 = -8
2p = -8

Divide each side by '2'.
p = -4

Simplifying
p = -4

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