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

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

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

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

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

Combine like terms: -6 + -2 = -8
-8 + -24p + 46p = (6 + 7p)

Combine like terms: -24p + 46p = 22p
-8 + 22p = (6 + 7p)

Remove parenthesis around (6 + 7p)
-8 + 22p = 6 + 7p

Solving
-8 + 22p = 6 + 7p

Solving for variable 'p'.

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

Add '-7p' to each side of the equation.
-8 + 22p + -7p = 6 + 7p + -7p

Combine like terms: 22p + -7p = 15p
-8 + 15p = 6 + 7p + -7p

Combine like terms: 7p + -7p = 0
-8 + 15p = 6 + 0
-8 + 15p = 6

Add '8' to each side of the equation.
-8 + 8 + 15p = 6 + 8

Combine like terms: -8 + 8 = 0
0 + 15p = 6 + 8
15p = 6 + 8

Combine like terms: 6 + 8 = 14
15p = 14

Divide each side by '15'.
p = 0.9333333333

Simplifying
p = 0.9333333333