5(4p+1)=32p+8

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Solution for 5(4p+1)=32p+8 equation:


Simplifying
5(4p + 1) = 32p + 8

Reorder the terms:
5(1 + 4p) = 32p + 8
(1 * 5 + 4p * 5) = 32p + 8
(5 + 20p) = 32p + 8

Reorder the terms:
5 + 20p = 8 + 32p

Solving
5 + 20p = 8 + 32p

Solving for variable 'p'.

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

Add '-32p' to each side of the equation.
5 + 20p + -32p = 8 + 32p + -32p

Combine like terms: 20p + -32p = -12p
5 + -12p = 8 + 32p + -32p

Combine like terms: 32p + -32p = 0
5 + -12p = 8 + 0
5 + -12p = 8

Add '-5' to each side of the equation.
5 + -5 + -12p = 8 + -5

Combine like terms: 5 + -5 = 0
0 + -12p = 8 + -5
-12p = 8 + -5

Combine like terms: 8 + -5 = 3
-12p = 3

Divide each side by '-12'.
p = -0.25

Simplifying
p = -0.25

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