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

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

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

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

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

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

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

Combine like terms: -4 + -6 = -10
-6 + 4p = -10 + 2p

Solving
-6 + 4p = -10 + 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 = -10 + 2p + -2p

Combine like terms: 4p + -2p = 2p
-6 + 2p = -10 + 2p + -2p

Combine like terms: 2p + -2p = 0
-6 + 2p = -10 + 0
-6 + 2p = -10

Add '6' to each side of the equation.
-6 + 6 + 2p = -10 + 6

Combine like terms: -6 + 6 = 0
0 + 2p = -10 + 6
2p = -10 + 6

Combine like terms: -10 + 6 = -4
2p = -4

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

Simplifying
p = -2