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

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

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

Reorder the terms:
-3(4 + 6p) + -2(4 + -14p) = 3(4 + 3p)
(4 * -3 + 6p * -3) + -2(4 + -14p) = 3(4 + 3p)
(-12 + -18p) + -2(4 + -14p) = 3(4 + 3p)
-12 + -18p + (4 * -2 + -14p * -2) = 3(4 + 3p)
-12 + -18p + (-8 + 28p) = 3(4 + 3p)

Reorder the terms:
-12 + -8 + -18p + 28p = 3(4 + 3p)

Combine like terms: -12 + -8 = -20
-20 + -18p + 28p = 3(4 + 3p)

Combine like terms: -18p + 28p = 10p
-20 + 10p = 3(4 + 3p)
-20 + 10p = (4 * 3 + 3p * 3)
-20 + 10p = (12 + 9p)

Solving
-20 + 10p = 12 + 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.
-20 + 10p + -9p = 12 + 9p + -9p

Combine like terms: 10p + -9p = 1p
-20 + 1p = 12 + 9p + -9p

Combine like terms: 9p + -9p = 0
-20 + 1p = 12 + 0
-20 + 1p = 12

Add '20' to each side of the equation.
-20 + 20 + 1p = 12 + 20

Combine like terms: -20 + 20 = 0
0 + 1p = 12 + 20
1p = 12 + 20

Combine like terms: 12 + 20 = 32
1p = 32

Divide each side by '1'.
p = 32

Simplifying
p = 32