2(p+10)=6(p+8)

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Solution for 2(p+10)=6(p+8) equation:


Simplifying
2(p + 10) = 6(p + 8)

Reorder the terms:
2(10 + p) = 6(p + 8)
(10 * 2 + p * 2) = 6(p + 8)
(20 + 2p) = 6(p + 8)

Reorder the terms:
20 + 2p = 6(8 + p)
20 + 2p = (8 * 6 + p * 6)
20 + 2p = (48 + 6p)

Solving
20 + 2p = 48 + 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.
20 + 2p + -6p = 48 + 6p + -6p

Combine like terms: 2p + -6p = -4p
20 + -4p = 48 + 6p + -6p

Combine like terms: 6p + -6p = 0
20 + -4p = 48 + 0
20 + -4p = 48

Add '-20' to each side of the equation.
20 + -20 + -4p = 48 + -20

Combine like terms: 20 + -20 = 0
0 + -4p = 48 + -20
-4p = 48 + -20

Combine like terms: 48 + -20 = 28
-4p = 28

Divide each side by '-4'.
p = -7

Simplifying
p = -7

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