2(p+8)=7(p-5)

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Solution for 2(p+8)=7(p-5) equation: 


Simplifying
2(p + 8) = 7(p + -5)

Reorder the terms:
2(8 + p) = 7(p + -5)
(8 * 2 + p * 2) = 7(p + -5)
(16 + 2p) = 7(p + -5)

Reorder the terms:
16 + 2p = 7(-5 + p)
16 + 2p = (-5 * 7 + p * 7)
16 + 2p = (-35 + 7p)

Solving
16 + 2p = -35 + 7p

Solving for variable 'p'.

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

Add '-7p' to each side of the equation.
16 + 2p + -7p = -35 + 7p + -7p

Combine like terms: 2p + -7p = -5p
16 + -5p = -35 + 7p + -7p

Combine like terms: 7p + -7p = 0
16 + -5p = -35 + 0
16 + -5p = -35

Add '-16' to each side of the equation.
16 + -16 + -5p = -35 + -16

Combine like terms: 16 + -16 = 0
0 + -5p = -35 + -16
-5p = -35 + -16

Combine like terms: -35 + -16 = -51
-5p = -51

Divide each side by '-5'.
p = 10.2

Simplifying
p = 10.2

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