6+8(p+2)=4p+6(p+4)

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Solution for 6+8(p+2)=4p+6(p+4) equation: 


Simplifying
6 + 8(p + 2) = 4p + 6(p + 4)

Reorder the terms:
6 + 8(2 + p) = 4p + 6(p + 4)
6 + (2 * 8 + p * 8) = 4p + 6(p + 4)
6 + (16 + 8p) = 4p + 6(p + 4)

Combine like terms: 6 + 16 = 22
22 + 8p = 4p + 6(p + 4)

Reorder the terms:
22 + 8p = 4p + 6(4 + p)
22 + 8p = 4p + (4 * 6 + p * 6)
22 + 8p = 4p + (24 + 6p)

Reorder the terms:
22 + 8p = 24 + 4p + 6p

Combine like terms: 4p + 6p = 10p
22 + 8p = 24 + 10p

Solving
22 + 8p = 24 + 10p

Solving for variable 'p'.

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

Add '-10p' to each side of the equation.
22 + 8p + -10p = 24 + 10p + -10p

Combine like terms: 8p + -10p = -2p
22 + -2p = 24 + 10p + -10p

Combine like terms: 10p + -10p = 0
22 + -2p = 24 + 0
22 + -2p = 24

Add '-22' to each side of the equation.
22 + -22 + -2p = 24 + -22

Combine like terms: 22 + -22 = 0
0 + -2p = 24 + -22
-2p = 24 + -22

Combine like terms: 24 + -22 = 2
-2p = 2

Divide each side by '-2'.
p = -1

Simplifying
p = -1

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