0.09(3p+6)=0.27(2p+4)

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Solution for 0.09(3p+6)=0.27(2p+4) equation: 


Simplifying
0.09(3p + 6) = 0.27(2p + 4)

Reorder the terms:
0.09(6 + 3p) = 0.27(2p + 4)
(6 * 0.09 + 3p * 0.09) = 0.27(2p + 4)
(0.54 + 0.27p) = 0.27(2p + 4)

Reorder the terms:
0.54 + 0.27p = 0.27(4 + 2p)
0.54 + 0.27p = (4 * 0.27 + 2p * 0.27)
0.54 + 0.27p = (1.08 + 0.54p)

Solving
0.54 + 0.27p = 1.08 + 0.54p

Solving for variable 'p'.

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

Add '-0.54p' to each side of the equation.
0.54 + 0.27p + -0.54p = 1.08 + 0.54p + -0.54p

Combine like terms: 0.27p + -0.54p = -0.27p
0.54 + -0.27p = 1.08 + 0.54p + -0.54p

Combine like terms: 0.54p + -0.54p = 0.00
0.54 + -0.27p = 1.08 + 0.00
0.54 + -0.27p = 1.08

Add '-0.54' to each side of the equation.
0.54 + -0.54 + -0.27p = 1.08 + -0.54

Combine like terms: 0.54 + -0.54 = 0.00
0.00 + -0.27p = 1.08 + -0.54
-0.27p = 1.08 + -0.54

Combine like terms: 1.08 + -0.54 = 0.54
-0.27p = 0.54

Divide each side by '-0.27'.
p = -2

Simplifying
p = -2

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