-3(4p+2)-2(6-14p)=3(3+5p)

Solution for -3(4p+2)-2(6-14p)=3(3+5p) equation:

Simplifying
-3(4p + 2) + -2(6 + -14p) = 3(3 + 5p)

Reorder the terms:
-3(2 + 4p) + -2(6 + -14p) = 3(3 + 5p)
(2 * -3 + 4p * -3) + -2(6 + -14p) = 3(3 + 5p)
(-6 + -12p) + -2(6 + -14p) = 3(3 + 5p)
-6 + -12p + (6 * -2 + -14p * -2) = 3(3 + 5p)
-6 + -12p + (-12 + 28p) = 3(3 + 5p)

Reorder the terms:
-6 + -12 + -12p + 28p = 3(3 + 5p)

Combine like terms: -6 + -12 = -18
-18 + -12p + 28p = 3(3 + 5p)

Combine like terms: -12p + 28p = 16p
-18 + 16p = 3(3 + 5p)
-18 + 16p = (3 * 3 + 5p * 3)
-18 + 16p = (9 + 15p)

Solving
-18 + 16p = 9 + 15p

Solving for variable 'p'.

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

Add '-15p' to each side of the equation.
-18 + 16p + -15p = 9 + 15p + -15p

Combine like terms: 16p + -15p = 1p
-18 + 1p = 9 + 15p + -15p

Combine like terms: 15p + -15p = 0
-18 + 1p = 9 + 0
-18 + 1p = 9

Add '18' to each side of the equation.
-18 + 18 + 1p = 9 + 18

Combine like terms: -18 + 18 = 0
0 + 1p = 9 + 18
1p = 9 + 18

Combine like terms: 9 + 18 = 27
1p = 27

Divide each side by '1'.
p = 27

Simplifying
p = 27