-3(7p+6)-2(1-14p)=3(1+2p)

Solution for -3(7p+6)-2(1-14p)=3(1+2p) equation:

Simplifying
-3(7p + 6) + -2(1 + -14p) = 3(1 + 2p)

Reorder the terms:
-3(6 + 7p) + -2(1 + -14p) = 3(1 + 2p)
(6 * -3 + 7p * -3) + -2(1 + -14p) = 3(1 + 2p)
(-18 + -21p) + -2(1 + -14p) = 3(1 + 2p)
-18 + -21p + (1 * -2 + -14p * -2) = 3(1 + 2p)
-18 + -21p + (-2 + 28p) = 3(1 + 2p)

Reorder the terms:
-18 + -2 + -21p + 28p = 3(1 + 2p)

Combine like terms: -18 + -2 = -20
-20 + -21p + 28p = 3(1 + 2p)

Combine like terms: -21p + 28p = 7p
-20 + 7p = 3(1 + 2p)
-20 + 7p = (1 * 3 + 2p * 3)
-20 + 7p = (3 + 6p)

Solving
-20 + 7p = 3 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-20 + 7p + -6p = 3 + 6p + -6p

Combine like terms: 7p + -6p = 1p
-20 + 1p = 3 + 6p + -6p

Combine like terms: 6p + -6p = 0
-20 + 1p = 3 + 0
-20 + 1p = 3

Add '20' to each side of the equation.
-20 + 20 + 1p = 3 + 20

Combine like terms: -20 + 20 = 0
0 + 1p = 3 + 20
1p = 3 + 20

Combine like terms: 3 + 20 = 23
1p = 23

Divide each side by '1'.
p = 23

Simplifying
p = 23