2p-2(5-3p)=6(p-2)-8

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Solution for 2p-2(5-3p)=6(p-2)-8 equation:


Simplifying
2p + -2(5 + -3p) = 6(p + -2) + -8
2p + (5 * -2 + -3p * -2) = 6(p + -2) + -8
2p + (-10 + 6p) = 6(p + -2) + -8

Reorder the terms:
-10 + 2p + 6p = 6(p + -2) + -8

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

Reorder the terms:
-10 + 8p = 6(-2 + p) + -8
-10 + 8p = (-2 * 6 + p * 6) + -8
-10 + 8p = (-12 + 6p) + -8

Reorder the terms:
-10 + 8p = -12 + -8 + 6p

Combine like terms: -12 + -8 = -20
-10 + 8p = -20 + 6p

Solving
-10 + 8p = -20 + 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.
-10 + 8p + -6p = -20 + 6p + -6p

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

Combine like terms: 6p + -6p = 0
-10 + 2p = -20 + 0
-10 + 2p = -20

Add '10' to each side of the equation.
-10 + 10 + 2p = -20 + 10

Combine like terms: -10 + 10 = 0
0 + 2p = -20 + 10
2p = -20 + 10

Combine like terms: -20 + 10 = -10
2p = -10

Divide each side by '2'.
p = -5

Simplifying
p = -5

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