-6(1-2p)-3(p-1)=-21

Solution for -6(1-2p)-3(p-1)=-21 equation:

Simplifying
-6(1 + -2p) + -3(p + -1) = -21
(1 * -6 + -2p * -6) + -3(p + -1) = -21
(-6 + 12p) + -3(p + -1) = -21

Reorder the terms:
-6 + 12p + -3(-1 + p) = -21
-6 + 12p + (-1 * -3 + p * -3) = -21
-6 + 12p + (3 + -3p) = -21

Reorder the terms:
-6 + 3 + 12p + -3p = -21

Combine like terms: -6 + 3 = -3
-3 + 12p + -3p = -21

Combine like terms: 12p + -3p = 9p
-3 + 9p = -21

Solving
-3 + 9p = -21

Solving for variable 'p'.

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

Add '3' to each side of the equation.
-3 + 3 + 9p = -21 + 3

Combine like terms: -3 + 3 = 0
0 + 9p = -21 + 3
9p = -21 + 3

Combine like terms: -21 + 3 = -18
9p = -18

Divide each side by '9'.
p = -2

Simplifying
p = -2