1.5=2.0+1.5(3p+1)

Solution for 1.5=2.0+1.5(3p+1) equation:

Simplifying
1.5 = 2.0 + 1.5(3p + 1)

Reorder the terms:
1.5 = 2.0 + 1.5(1 + 3p)
1.5 = 2.0 + (1 * 1.5 + 3p * 1.5)
1.5 = 2.0 + (1.5 + 4.5p)

Combine like terms: 2.0 + 1.5 = 3.5
1.5 = 3.5 + 4.5p

Solving
1.5 = 3.5 + 4.5p

Solving for variable 'p'.

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

Add '-4.5p' to each side of the equation.
1.5 + -4.5p = 3.5 + 4.5p + -4.5p

Combine like terms: 4.5p + -4.5p = 0.0
1.5 + -4.5p = 3.5 + 0.0
1.5 + -4.5p = 3.5

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -4.5p = 3.5 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -4.5p = 3.5 + -1.5
-4.5p = 3.5 + -1.5

Combine like terms: 3.5 + -1.5 = 2
-4.5p = 2

Divide each side by '-4.5'.
p = -0.4444444444

Simplifying
p = -0.4444444444