6(1+6p)=3(-7+3p)

Solution for 6(1+6p)=3(-7+3p) equation:

Simplifying
6(1 + 6p) = 3(-7 + 3p)
(1 * 6 + 6p * 6) = 3(-7 + 3p)
(6 + 36p) = 3(-7 + 3p)
6 + 36p = (-7 * 3 + 3p * 3)
6 + 36p = (-21 + 9p)

Solving
6 + 36p = -21 + 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 + 36p + -9p = -21 + 9p + -9p

Combine like terms: 36p + -9p = 27p
6 + 27p = -21 + 9p + -9p

Combine like terms: 9p + -9p = 0
6 + 27p = -21 + 0
6 + 27p = -21

Add '-6' to each side of the equation.
6 + -6 + 27p = -21 + -6

Combine like terms: 6 + -6 = 0
0 + 27p = -21 + -6
27p = -21 + -6

Combine like terms: -21 + -6 = -27
27p = -27

Divide each side by '27'.
p = -1

Simplifying
p = -1