0.4p+.02=4.2p-7.8-.06p

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Solution for 0.4p+.02=4.2p-7.8-.06p equation:


Simplifying
0.4p + 0.02 = 4.2p + -7.8 + -0.06p

Reorder the terms:
0.02 + 0.4p = 4.2p + -7.8 + -0.06p

Reorder the terms:
0.02 + 0.4p = -7.8 + 4.2p + -0.06p

Combine like terms: 4.2p + -0.06p = 4.14p
0.02 + 0.4p = -7.8 + 4.14p

Solving
0.02 + 0.4p = -7.8 + 4.14p

Solving for variable 'p'.

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

Add '-4.14p' to each side of the equation.
0.02 + 0.4p + -4.14p = -7.8 + 4.14p + -4.14p

Combine like terms: 0.4p + -4.14p = -3.74p
0.02 + -3.74p = -7.8 + 4.14p + -4.14p

Combine like terms: 4.14p + -4.14p = 0.00
0.02 + -3.74p = -7.8 + 0.00
0.02 + -3.74p = -7.8

Add '-0.02' to each side of the equation.
0.02 + -0.02 + -3.74p = -7.8 + -0.02

Combine like terms: 0.02 + -0.02 = 0.00
0.00 + -3.74p = -7.8 + -0.02
-3.74p = -7.8 + -0.02

Combine like terms: -7.8 + -0.02 = -7.82
-3.74p = -7.82

Divide each side by '-3.74'.
p = 2.090909091

Simplifying
p = 2.090909091

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