.4p+.2=4.2p-7.8-.6p

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Solution for .4p+.2=4.2p-7.8-.6p equation: 


Simplifying
0.4p + 0.2 = 4.2p + -7.8 + -0.6p

Reorder the terms:
0.2 + 0.4p = 4.2p + -7.8 + -0.6p

Reorder the terms:
0.2 + 0.4p = -7.8 + 4.2p + -0.6p

Combine like terms: 4.2p + -0.6p = 3.6p
0.2 + 0.4p = -7.8 + 3.6p

Solving
0.2 + 0.4p = -7.8 + 3.6p

Solving for variable 'p'.

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

Add '-3.6p' to each side of the equation.
0.2 + 0.4p + -3.6p = -7.8 + 3.6p + -3.6p

Combine like terms: 0.4p + -3.6p = -3.2p
0.2 + -3.2p = -7.8 + 3.6p + -3.6p

Combine like terms: 3.6p + -3.6p = 0.0
0.2 + -3.2p = -7.8 + 0.0
0.2 + -3.2p = -7.8

Add '-0.2' to each side of the equation.
0.2 + -0.2 + -3.2p = -7.8 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -3.2p = -7.8 + -0.2
-3.2p = -7.8 + -0.2

Combine like terms: -7.8 + -0.2 = -8
-3.2p = -8

Divide each side by '-3.2'.
p = 2.5

Simplifying
p = 2.5

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