-3(6p+2)-2(4-14p)=3(3+3p)

Solution for -3(6p+2)-2(4-14p)=3(3+3p) equation:

Simplifying
-3(6p + 2) + -2(4 + -14p) = 3(3 + 3p)

Reorder the terms:
-3(2 + 6p) + -2(4 + -14p) = 3(3 + 3p)
(2 * -3 + 6p * -3) + -2(4 + -14p) = 3(3 + 3p)
(-6 + -18p) + -2(4 + -14p) = 3(3 + 3p)
-6 + -18p + (4 * -2 + -14p * -2) = 3(3 + 3p)
-6 + -18p + (-8 + 28p) = 3(3 + 3p)

Reorder the terms:
-6 + -8 + -18p + 28p = 3(3 + 3p)

Combine like terms: -6 + -8 = -14
-14 + -18p + 28p = 3(3 + 3p)

Combine like terms: -18p + 28p = 10p
-14 + 10p = 3(3 + 3p)
-14 + 10p = (3 * 3 + 3p * 3)
-14 + 10p = (9 + 9p)

Solving
-14 + 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.
-14 + 10p + -9p = 9 + 9p + -9p

Combine like terms: 10p + -9p = 1p
-14 + 1p = 9 + 9p + -9p

Combine like terms: 9p + -9p = 0
-14 + 1p = 9 + 0
-14 + 1p = 9

Add '14' to each side of the equation.
-14 + 14 + 1p = 9 + 14

Combine like terms: -14 + 14 = 0
0 + 1p = 9 + 14
1p = 9 + 14

Combine like terms: 9 + 14 = 23
1p = 23

Divide each side by '1'.
p = 23

Simplifying
p = 23