3(3p+4)-2(p+9)=

Solution for 3(3p+4)-2(p+9)= equation:

Simplifying
3(3p + 4) + -2(p + 9) = 0

Reorder the terms:
3(4 + 3p) + -2(p + 9) = 0
(4 * 3 + 3p * 3) + -2(p + 9) = 0
(12 + 9p) + -2(p + 9) = 0

Reorder the terms:
12 + 9p + -2(9 + p) = 0
12 + 9p + (9 * -2 + p * -2) = 0
12 + 9p + (-18 + -2p) = 0

Reorder the terms:
12 + -18 + 9p + -2p = 0

Combine like terms: 12 + -18 = -6
-6 + 9p + -2p = 0

Combine like terms: 9p + -2p = 7p
-6 + 7p = 0

Solving
-6 + 7p = 0

Solving for variable 'p'.

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

Add '6' to each side of the equation.
-6 + 6 + 7p = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 7p = 0 + 6
7p = 0 + 6

Combine like terms: 0 + 6 = 6
7p = 6

Divide each side by '7'.
p = 0.8571428571

Simplifying
p = 0.8571428571