-3(3p+6)-2(6-14p)=3(1+6p)

Solution for -3(3p+6)-2(6-14p)=3(1+6p) equation:

Simplifying
-3(3p + 6) + -2(6 + -14p) = 3(1 + 6p)

Reorder the terms:
-3(6 + 3p) + -2(6 + -14p) = 3(1 + 6p)
(6 * -3 + 3p * -3) + -2(6 + -14p) = 3(1 + 6p)
(-18 + -9p) + -2(6 + -14p) = 3(1 + 6p)
-18 + -9p + (6 * -2 + -14p * -2) = 3(1 + 6p)
-18 + -9p + (-12 + 28p) = 3(1 + 6p)

Reorder the terms:
-18 + -12 + -9p + 28p = 3(1 + 6p)

Combine like terms: -18 + -12 = -30
-30 + -9p + 28p = 3(1 + 6p)

Combine like terms: -9p + 28p = 19p
-30 + 19p = 3(1 + 6p)
-30 + 19p = (1 * 3 + 6p * 3)
-30 + 19p = (3 + 18p)

Solving
-30 + 19p = 3 + 18p

Solving for variable 'p'.

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

Add '-18p' to each side of the equation.
-30 + 19p + -18p = 3 + 18p + -18p

Combine like terms: 19p + -18p = 1p
-30 + 1p = 3 + 18p + -18p

Combine like terms: 18p + -18p = 0
-30 + 1p = 3 + 0
-30 + 1p = 3

Add '30' to each side of the equation.
-30 + 30 + 1p = 3 + 30

Combine like terms: -30 + 30 = 0
0 + 1p = 3 + 30
1p = 3 + 30

Combine like terms: 3 + 30 = 33
1p = 33

Divide each side by '1'.
p = 33

Simplifying
p = 33