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

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

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

Reorder the terms:
-3(3 + 8p) + -2(2 + -23p) = 3(4 + 7p)
(3 * -3 + 8p * -3) + -2(2 + -23p) = 3(4 + 7p)
(-9 + -24p) + -2(2 + -23p) = 3(4 + 7p)
-9 + -24p + (2 * -2 + -23p * -2) = 3(4 + 7p)
-9 + -24p + (-4 + 46p) = 3(4 + 7p)

Reorder the terms:
-9 + -4 + -24p + 46p = 3(4 + 7p)

Combine like terms: -9 + -4 = -13
-13 + -24p + 46p = 3(4 + 7p)

Combine like terms: -24p + 46p = 22p
-13 + 22p = 3(4 + 7p)
-13 + 22p = (4 * 3 + 7p * 3)
-13 + 22p = (12 + 21p)

Solving
-13 + 22p = 12 + 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.
-13 + 22p + -21p = 12 + 21p + -21p

Combine like terms: 22p + -21p = 1p
-13 + 1p = 12 + 21p + -21p

Combine like terms: 21p + -21p = 0
-13 + 1p = 12 + 0
-13 + 1p = 12

Add '13' to each side of the equation.
-13 + 13 + 1p = 12 + 13

Combine like terms: -13 + 13 = 0
0 + 1p = 12 + 13
1p = 12 + 13

Combine like terms: 12 + 13 = 25
1p = 25

Divide each side by '1'.
p = 25

Simplifying
p = 25