-4p+2(p+5)=6p+2(1-6p)

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Solution for -4p+2(p+5)=6p+2(1-6p) equation: 


Simplifying
-4p + 2(p + 5) = 6p + 2(1 + -6p)

Reorder the terms:
-4p + 2(5 + p) = 6p + 2(1 + -6p)
-4p + (5 * 2 + p * 2) = 6p + 2(1 + -6p)
-4p + (10 + 2p) = 6p + 2(1 + -6p)

Reorder the terms:
10 + -4p + 2p = 6p + 2(1 + -6p)

Combine like terms: -4p + 2p = -2p
10 + -2p = 6p + 2(1 + -6p)
10 + -2p = 6p + (1 * 2 + -6p * 2)
10 + -2p = 6p + (2 + -12p)

Reorder the terms:
10 + -2p = 2 + 6p + -12p

Combine like terms: 6p + -12p = -6p
10 + -2p = 2 + -6p

Solving
10 + -2p = 2 + -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 + -2p + 6p = 2 + -6p + 6p

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

Combine like terms: -6p + 6p = 0
10 + 4p = 2 + 0
10 + 4p = 2

Add '-10' to each side of the equation.
10 + -10 + 4p = 2 + -10

Combine like terms: 10 + -10 = 0
0 + 4p = 2 + -10
4p = 2 + -10

Combine like terms: 2 + -10 = -8
4p = -8

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

Simplifying
p = -2

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