-3(8p+4)-2(2-17p)=3(2+3p)

Solution for -3(8p+4)-2(2-17p)=3(2+3p) equation:

Simplifying
-3(8p + 4) + -2(2 + -17p) = 3(2 + 3p)

Reorder the terms:
-3(4 + 8p) + -2(2 + -17p) = 3(2 + 3p)
(4 * -3 + 8p * -3) + -2(2 + -17p) = 3(2 + 3p)
(-12 + -24p) + -2(2 + -17p) = 3(2 + 3p)
-12 + -24p + (2 * -2 + -17p * -2) = 3(2 + 3p)
-12 + -24p + (-4 + 34p) = 3(2 + 3p)

Reorder the terms:
-12 + -4 + -24p + 34p = 3(2 + 3p)

Combine like terms: -12 + -4 = -16
-16 + -24p + 34p = 3(2 + 3p)

Combine like terms: -24p + 34p = 10p
-16 + 10p = 3(2 + 3p)
-16 + 10p = (2 * 3 + 3p * 3)
-16 + 10p = (6 + 9p)

Solving
-16 + 10p = 6 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
-16 + 10p + -9p = 6 + 9p + -9p

Combine like terms: 10p + -9p = 1p
-16 + 1p = 6 + 9p + -9p

Combine like terms: 9p + -9p = 0
-16 + 1p = 6 + 0
-16 + 1p = 6

Add '16' to each side of the equation.
-16 + 16 + 1p = 6 + 16

Combine like terms: -16 + 16 = 0
0 + 1p = 6 + 16
1p = 6 + 16

Combine like terms: 6 + 16 = 22
1p = 22

Divide each side by '1'.
p = 22

Simplifying
p = 22