-14p-3(2-6p)=2(p-6)-8

Solution for -14p-3(2-6p)=2(p-6)-8 equation:

Simplifying
-14p + -3(2 + -6p) = 2(p + -6) + -8
-14p + (2 * -3 + -6p * -3) = 2(p + -6) + -8
-14p + (-6 + 18p) = 2(p + -6) + -8

Reorder the terms:
-6 + -14p + 18p = 2(p + -6) + -8

Combine like terms: -14p + 18p = 4p
-6 + 4p = 2(p + -6) + -8

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

Reorder the terms:
-6 + 4p = -12 + -8 + 2p

Combine like terms: -12 + -8 = -20
-6 + 4p = -20 + 2p

Solving
-6 + 4p = -20 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
-6 + 4p + -2p = -20 + 2p + -2p

Combine like terms: 4p + -2p = 2p
-6 + 2p = -20 + 2p + -2p

Combine like terms: 2p + -2p = 0
-6 + 2p = -20 + 0
-6 + 2p = -20

Add '6' to each side of the equation.
-6 + 6 + 2p = -20 + 6

Combine like terms: -6 + 6 = 0
0 + 2p = -20 + 6
2p = -20 + 6

Combine like terms: -20 + 6 = -14
2p = -14

Divide each side by '2'.
p = -7

Simplifying
p = -7