4(p-4)=2(2p-11)-2p+8

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Solution for 4(p-4)=2(2p-11)-2p+8 equation: 


Simplifying
4(p + -4) = 2(2p + -11) + -2p + 8

Reorder the terms:
4(-4 + p) = 2(2p + -11) + -2p + 8
(-4 * 4 + p * 4) = 2(2p + -11) + -2p + 8
(-16 + 4p) = 2(2p + -11) + -2p + 8

Reorder the terms:
-16 + 4p = 2(-11 + 2p) + -2p + 8
-16 + 4p = (-11 * 2 + 2p * 2) + -2p + 8
-16 + 4p = (-22 + 4p) + -2p + 8

Reorder the terms:
-16 + 4p = -22 + 8 + 4p + -2p

Combine like terms: -22 + 8 = -14
-16 + 4p = -14 + 4p + -2p

Combine like terms: 4p + -2p = 2p
-16 + 4p = -14 + 2p

Solving
-16 + 4p = -14 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
-16 + 4p + -2p = -14 + 2p + -2p

Combine like terms: 4p + -2p = 2p
-16 + 2p = -14 + 2p + -2p

Combine like terms: 2p + -2p = 0
-16 + 2p = -14 + 0
-16 + 2p = -14

Add '16' to each side of the equation.
-16 + 16 + 2p = -14 + 16

Combine like terms: -16 + 16 = 0
0 + 2p = -14 + 16
2p = -14 + 16

Combine like terms: -14 + 16 = 2
2p = 2

Divide each side by '2'.
p = 1

Simplifying
p = 1

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