8(4-3p)=4(3-5p)+4p

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Solution for 8(4-3p)=4(3-5p)+4p equation: 


Simplifying
8(4 + -3p) = 4(3 + -5p) + 4p
(4 * 8 + -3p * 8) = 4(3 + -5p) + 4p
(32 + -24p) = 4(3 + -5p) + 4p
32 + -24p = (3 * 4 + -5p * 4) + 4p
32 + -24p = (12 + -20p) + 4p

Combine like terms: -20p + 4p = -16p
32 + -24p = 12 + -16p

Solving
32 + -24p = 12 + -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.
32 + -24p + 16p = 12 + -16p + 16p

Combine like terms: -24p + 16p = -8p
32 + -8p = 12 + -16p + 16p

Combine like terms: -16p + 16p = 0
32 + -8p = 12 + 0
32 + -8p = 12

Add '-32' to each side of the equation.
32 + -32 + -8p = 12 + -32

Combine like terms: 32 + -32 = 0
0 + -8p = 12 + -32
-8p = 12 + -32

Combine like terms: 12 + -32 = -20
-8p = -20

Divide each side by '-8'.
p = 2.5

Simplifying
p = 2.5

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