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

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

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

Reorder the terms:
-3(6 + 6p) + -2(2 + -14p) = 3(1 + 3p)
(6 * -3 + 6p * -3) + -2(2 + -14p) = 3(1 + 3p)
(-18 + -18p) + -2(2 + -14p) = 3(1 + 3p)
-18 + -18p + (2 * -2 + -14p * -2) = 3(1 + 3p)
-18 + -18p + (-4 + 28p) = 3(1 + 3p)

Reorder the terms:
-18 + -4 + -18p + 28p = 3(1 + 3p)

Combine like terms: -18 + -4 = -22
-22 + -18p + 28p = 3(1 + 3p)

Combine like terms: -18p + 28p = 10p
-22 + 10p = 3(1 + 3p)
-22 + 10p = (1 * 3 + 3p * 3)
-22 + 10p = (3 + 9p)

Solving
-22 + 10p = 3 + 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.
-22 + 10p + -9p = 3 + 9p + -9p

Combine like terms: 10p + -9p = 1p
-22 + 1p = 3 + 9p + -9p

Combine like terms: 9p + -9p = 0
-22 + 1p = 3 + 0
-22 + 1p = 3

Add '22' to each side of the equation.
-22 + 22 + 1p = 3 + 22

Combine like terms: -22 + 22 = 0
0 + 1p = 3 + 22
1p = 3 + 22

Combine like terms: 3 + 22 = 25
1p = 25

Divide each side by '1'.
p = 25

Simplifying
p = 25