-3(6p+3)-2(2-14p)=3(3+3p)

Solution for -3(6p+3)-2(2-14p)=3(3+3p) equation:

Simplifying
-3(6p + 3) + -2(2 + -14p) = 3(3 + 3p)

Reorder the terms:
-3(3 + 6p) + -2(2 + -14p) = 3(3 + 3p)
(3 * -3 + 6p * -3) + -2(2 + -14p) = 3(3 + 3p)
(-9 + -18p) + -2(2 + -14p) = 3(3 + 3p)
-9 + -18p + (2 * -2 + -14p * -2) = 3(3 + 3p)
-9 + -18p + (-4 + 28p) = 3(3 + 3p)

Reorder the terms:
-9 + -4 + -18p + 28p = 3(3 + 3p)

Combine like terms: -9 + -4 = -13
-13 + -18p + 28p = 3(3 + 3p)

Combine like terms: -18p + 28p = 10p
-13 + 10p = 3(3 + 3p)
-13 + 10p = (3 * 3 + 3p * 3)
-13 + 10p = (9 + 9p)

Solving
-13 + 10p = 9 + 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.
-13 + 10p + -9p = 9 + 9p + -9p

Combine like terms: 10p + -9p = 1p
-13 + 1p = 9 + 9p + -9p

Combine like terms: 9p + -9p = 0
-13 + 1p = 9 + 0
-13 + 1p = 9

Add '13' to each side of the equation.
-13 + 13 + 1p = 9 + 13

Combine like terms: -13 + 13 = 0
0 + 1p = 9 + 13
1p = 9 + 13

Combine like terms: 9 + 13 = 22
1p = 22

Divide each side by '1'.
p = 22

Simplifying
p = 22