-3(8p+2)-2(3-23p)=3(6+7p)

Solution for -3(8p+2)-2(3-23p)=3(6+7p) equation:

Simplifying
-3(8p + 2) + -2(3 + -23p) = 3(6 + 7p)

Reorder the terms:
-3(2 + 8p) + -2(3 + -23p) = 3(6 + 7p)
(2 * -3 + 8p * -3) + -2(3 + -23p) = 3(6 + 7p)
(-6 + -24p) + -2(3 + -23p) = 3(6 + 7p)
-6 + -24p + (3 * -2 + -23p * -2) = 3(6 + 7p)
-6 + -24p + (-6 + 46p) = 3(6 + 7p)

Reorder the terms:
-6 + -6 + -24p + 46p = 3(6 + 7p)

Combine like terms: -6 + -6 = -12
-12 + -24p + 46p = 3(6 + 7p)

Combine like terms: -24p + 46p = 22p
-12 + 22p = 3(6 + 7p)
-12 + 22p = (6 * 3 + 7p * 3)
-12 + 22p = (18 + 21p)

Solving
-12 + 22p = 18 + 21p

Solving for variable 'p'.

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

Add '-21p' to each side of the equation.
-12 + 22p + -21p = 18 + 21p + -21p

Combine like terms: 22p + -21p = 1p
-12 + 1p = 18 + 21p + -21p

Combine like terms: 21p + -21p = 0
-12 + 1p = 18 + 0
-12 + 1p = 18

Add '12' to each side of the equation.
-12 + 12 + 1p = 18 + 12

Combine like terms: -12 + 12 = 0
0 + 1p = 18 + 12
1p = 18 + 12

Combine like terms: 18 + 12 = 30
1p = 30

Divide each side by '1'.
p = 30

Simplifying
p = 30