6(5-2p)=3(5p+8)

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Solution for 6(5-2p)=3(5p+8) equation: 


Simplifying
6(5 + -2p) = 3(5p + 8)
(5 * 6 + -2p * 6) = 3(5p + 8)
(30 + -12p) = 3(5p + 8)

Reorder the terms:
30 + -12p = 3(8 + 5p)
30 + -12p = (8 * 3 + 5p * 3)
30 + -12p = (24 + 15p)

Solving
30 + -12p = 24 + 15p

Solving for variable 'p'.

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

Add '-15p' to each side of the equation.
30 + -12p + -15p = 24 + 15p + -15p

Combine like terms: -12p + -15p = -27p
30 + -27p = 24 + 15p + -15p

Combine like terms: 15p + -15p = 0
30 + -27p = 24 + 0
30 + -27p = 24

Add '-30' to each side of the equation.
30 + -30 + -27p = 24 + -30

Combine like terms: 30 + -30 = 0
0 + -27p = 24 + -30
-27p = 24 + -30

Combine like terms: 24 + -30 = -6
-27p = -6

Divide each side by '-27'.
p = 0.2222222222

Simplifying
p = 0.2222222222

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