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

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


Simplifying
4(6 + -1p) = 2(4 + p)
(6 * 4 + -1p * 4) = 2(4 + p)
(24 + -4p) = 2(4 + p)
24 + -4p = (4 * 2 + p * 2)
24 + -4p = (8 + 2p)

Solving
24 + -4p = 8 + 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.
24 + -4p + -2p = 8 + 2p + -2p

Combine like terms: -4p + -2p = -6p
24 + -6p = 8 + 2p + -2p

Combine like terms: 2p + -2p = 0
24 + -6p = 8 + 0
24 + -6p = 8

Add '-24' to each side of the equation.
24 + -24 + -6p = 8 + -24

Combine like terms: 24 + -24 = 0
0 + -6p = 8 + -24
-6p = 8 + -24

Combine like terms: 8 + -24 = -16
-6p = -16

Divide each side by '-6'.
p = 2.666666667

Simplifying
p = 2.666666667

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