3(1+3p)+9=3(p+10)

Solution for 3(1+3p)+9=3(p+10) equation:

Simplifying
3(1 + 3p) + 9 = 3(p + 10)
(1 * 3 + 3p * 3) + 9 = 3(p + 10)
(3 + 9p) + 9 = 3(p + 10)

Reorder the terms:
3 + 9 + 9p = 3(p + 10)

Combine like terms: 3 + 9 = 12
12 + 9p = 3(p + 10)

Reorder the terms:
12 + 9p = 3(10 + p)
12 + 9p = (10 * 3 + p * 3)
12 + 9p = (30 + 3p)

Solving
12 + 9p = 30 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
12 + 9p + -3p = 30 + 3p + -3p

Combine like terms: 9p + -3p = 6p
12 + 6p = 30 + 3p + -3p

Combine like terms: 3p + -3p = 0
12 + 6p = 30 + 0
12 + 6p = 30

Add '-12' to each side of the equation.
12 + -12 + 6p = 30 + -12

Combine like terms: 12 + -12 = 0
0 + 6p = 30 + -12
6p = 30 + -12

Combine like terms: 30 + -12 = 18
6p = 18

Divide each side by '6'.
p = 3

Simplifying
p = 3