-3(8p+5)-2(3-23p)=3(3+7p)

Solution for -3(8p+5)-2(3-23p)=3(3+7p) equation:

Simplifying
-3(8p + 5) + -2(3 + -23p) = 3(3 + 7p)

Reorder the terms:
-3(5 + 8p) + -2(3 + -23p) = 3(3 + 7p)
(5 * -3 + 8p * -3) + -2(3 + -23p) = 3(3 + 7p)
(-15 + -24p) + -2(3 + -23p) = 3(3 + 7p)
-15 + -24p + (3 * -2 + -23p * -2) = 3(3 + 7p)
-15 + -24p + (-6 + 46p) = 3(3 + 7p)

Reorder the terms:
-15 + -6 + -24p + 46p = 3(3 + 7p)

Combine like terms: -15 + -6 = -21
-21 + -24p + 46p = 3(3 + 7p)

Combine like terms: -24p + 46p = 22p
-21 + 22p = 3(3 + 7p)
-21 + 22p = (3 * 3 + 7p * 3)
-21 + 22p = (9 + 21p)

Solving
-21 + 22p = 9 + 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.
-21 + 22p + -21p = 9 + 21p + -21p

Combine like terms: 22p + -21p = 1p
-21 + 1p = 9 + 21p + -21p

Combine like terms: 21p + -21p = 0
-21 + 1p = 9 + 0
-21 + 1p = 9

Add '21' to each side of the equation.
-21 + 21 + 1p = 9 + 21

Combine like terms: -21 + 21 = 0
0 + 1p = 9 + 21
1p = 9 + 21

Combine like terms: 9 + 21 = 30
1p = 30

Divide each side by '1'.
p = 30

Simplifying
p = 30