-3(8p+4)-2(1-23p)=3(6+7p)

Solution for -3(8p+4)-2(1-23p)=3(6+7p) equation:

Simplifying
-3(8p + 4) + -2(1 + -23p) = 3(6 + 7p)

Reorder the terms:
-3(4 + 8p) + -2(1 + -23p) = 3(6 + 7p)
(4 * -3 + 8p * -3) + -2(1 + -23p) = 3(6 + 7p)
(-12 + -24p) + -2(1 + -23p) = 3(6 + 7p)
-12 + -24p + (1 * -2 + -23p * -2) = 3(6 + 7p)
-12 + -24p + (-2 + 46p) = 3(6 + 7p)

Reorder the terms:
-12 + -2 + -24p + 46p = 3(6 + 7p)

Combine like terms: -12 + -2 = -14
-14 + -24p + 46p = 3(6 + 7p)

Combine like terms: -24p + 46p = 22p
-14 + 22p = 3(6 + 7p)
-14 + 22p = (6 * 3 + 7p * 3)
-14 + 22p = (18 + 21p)

Solving
-14 + 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.
-14 + 22p + -21p = 18 + 21p + -21p

Combine like terms: 22p + -21p = 1p
-14 + 1p = 18 + 21p + -21p

Combine like terms: 21p + -21p = 0
-14 + 1p = 18 + 0
-14 + 1p = 18

Add '14' to each side of the equation.
-14 + 14 + 1p = 18 + 14

Combine like terms: -14 + 14 = 0
0 + 1p = 18 + 14
1p = 18 + 14

Combine like terms: 18 + 14 = 32
1p = 32

Divide each side by '1'.
p = 32

Simplifying
p = 32