.4(p-9)=.3(p+4)

Solution for .4(p-9)=.3(p+4) equation:

Simplifying
0.4(p + -9) = 0.3(p + 4)

Reorder the terms:
0.4(-9 + p) = 0.3(p + 4)
(-9 * 0.4 + p * 0.4) = 0.3(p + 4)
(-3.6 + 0.4p) = 0.3(p + 4)

Reorder the terms:
-3.6 + 0.4p = 0.3(4 + p)
-3.6 + 0.4p = (4 * 0.3 + p * 0.3)
-3.6 + 0.4p = (1.2 + 0.3p)

Solving
-3.6 + 0.4p = 1.2 + 0.3p

Solving for variable 'p'.

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

Add '-0.3p' to each side of the equation.
-3.6 + 0.4p + -0.3p = 1.2 + 0.3p + -0.3p

Combine like terms: 0.4p + -0.3p = 0.1p
-3.6 + 0.1p = 1.2 + 0.3p + -0.3p

Combine like terms: 0.3p + -0.3p = 0.0
-3.6 + 0.1p = 1.2 + 0.0
-3.6 + 0.1p = 1.2

Add '3.6' to each side of the equation.
-3.6 + 3.6 + 0.1p = 1.2 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + 0.1p = 1.2 + 3.6
0.1p = 1.2 + 3.6

Combine like terms: 1.2 + 3.6 = 4.8
0.1p = 4.8

Divide each side by '0.1'.
p = 48

Simplifying
p = 48