0.4p+0.2=4.2-7.8-0.6p

Solution for 0.4p+0.2=4.2-7.8-0.6p equation:

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

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

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

Solving
0.2 + 0.4p = -3.6 + -0.6p

Solving for variable 'p'.

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

Add '0.6p' to each side of the equation.
0.2 + 0.4p + 0.6p = -3.6 + -0.6p + 0.6p

Combine like terms: 0.4p + 0.6p = 1p
0.2 + 1p = -3.6 + -0.6p + 0.6p

Combine like terms: -0.6p + 0.6p = 0.0
0.2 + 1p = -3.6 + 0.0
0.2 + 1p = -3.6

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 1p = -3.6 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 1p = -3.6 + -0.2
1p = -3.6 + -0.2

Combine like terms: -3.6 + -0.2 = -3.8
1p = -3.8

Divide each side by '1'.
p = -3.8

Simplifying
p = -3.8