8(7-p)=16(p-2)

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Solution for 8(7-p)=16(p-2) equation:


Simplifying
8(7 + -1p) = 16(p + -2)
(7 * 8 + -1p * 8) = 16(p + -2)
(56 + -8p) = 16(p + -2)

Reorder the terms:
56 + -8p = 16(-2 + p)
56 + -8p = (-2 * 16 + p * 16)
56 + -8p = (-32 + 16p)

Solving
56 + -8p = -32 + 16p

Solving for variable 'p'.

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

Add '-16p' to each side of the equation.
56 + -8p + -16p = -32 + 16p + -16p

Combine like terms: -8p + -16p = -24p
56 + -24p = -32 + 16p + -16p

Combine like terms: 16p + -16p = 0
56 + -24p = -32 + 0
56 + -24p = -32

Add '-56' to each side of the equation.
56 + -56 + -24p = -32 + -56

Combine like terms: 56 + -56 = 0
0 + -24p = -32 + -56
-24p = -32 + -56

Combine like terms: -32 + -56 = -88
-24p = -88

Divide each side by '-24'.
p = 3.666666667

Simplifying
p = 3.666666667

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