5p+7(1-p)=3p+8(1-p)

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Solution for 5p+7(1-p)=3p+8(1-p) equation:


Simplifying
5p + 7(1 + -1p) = 3p + 8(1 + -1p)
5p + (1 * 7 + -1p * 7) = 3p + 8(1 + -1p)
5p + (7 + -7p) = 3p + 8(1 + -1p)

Reorder the terms:
7 + 5p + -7p = 3p + 8(1 + -1p)

Combine like terms: 5p + -7p = -2p
7 + -2p = 3p + 8(1 + -1p)
7 + -2p = 3p + (1 * 8 + -1p * 8)
7 + -2p = 3p + (8 + -8p)

Reorder the terms:
7 + -2p = 8 + 3p + -8p

Combine like terms: 3p + -8p = -5p
7 + -2p = 8 + -5p

Solving
7 + -2p = 8 + -5p

Solving for variable 'p'.

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

Add '5p' to each side of the equation.
7 + -2p + 5p = 8 + -5p + 5p

Combine like terms: -2p + 5p = 3p
7 + 3p = 8 + -5p + 5p

Combine like terms: -5p + 5p = 0
7 + 3p = 8 + 0
7 + 3p = 8

Add '-7' to each side of the equation.
7 + -7 + 3p = 8 + -7

Combine like terms: 7 + -7 = 0
0 + 3p = 8 + -7
3p = 8 + -7

Combine like terms: 8 + -7 = 1
3p = 1

Divide each side by '3'.
p = 0.3333333333

Simplifying
p = 0.3333333333

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