6+5p=3(3p+4)

Solution for 6+5p=3(3p+4) equation:

Simplifying
6 + 5p = 3(3p + 4)

Reorder the terms:
6 + 5p = 3(4 + 3p)
6 + 5p = (4 * 3 + 3p * 3)
6 + 5p = (12 + 9p)

Solving
6 + 5p = 12 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
6 + 5p + -9p = 12 + 9p + -9p

Combine like terms: 5p + -9p = -4p
6 + -4p = 12 + 9p + -9p

Combine like terms: 9p + -9p = 0
6 + -4p = 12 + 0
6 + -4p = 12

Add '-6' to each side of the equation.
6 + -6 + -4p = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -4p = 12 + -6
-4p = 12 + -6

Combine like terms: 12 + -6 = 6
-4p = 6

Divide each side by '-4'.
p = -1.5

Simplifying
p = -1.5