2p+6=4(7p+10)+3(-4-8p)

Solution for 2p+6=4(7p+10)+3(-4-8p) equation:

Simplifying
2p + 6 = 4(7p + 10) + 3(-4 + -8p)

Reorder the terms:
6 + 2p = 4(7p + 10) + 3(-4 + -8p)

Reorder the terms:
6 + 2p = 4(10 + 7p) + 3(-4 + -8p)
6 + 2p = (10 * 4 + 7p * 4) + 3(-4 + -8p)
6 + 2p = (40 + 28p) + 3(-4 + -8p)
6 + 2p = 40 + 28p + (-4 * 3 + -8p * 3)
6 + 2p = 40 + 28p + (-12 + -24p)

Reorder the terms:
6 + 2p = 40 + -12 + 28p + -24p

Combine like terms: 40 + -12 = 28
6 + 2p = 28 + 28p + -24p

Combine like terms: 28p + -24p = 4p
6 + 2p = 28 + 4p

Solving
6 + 2p = 28 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
6 + 2p + -4p = 28 + 4p + -4p

Combine like terms: 2p + -4p = -2p
6 + -2p = 28 + 4p + -4p

Combine like terms: 4p + -4p = 0
6 + -2p = 28 + 0
6 + -2p = 28

Add '-6' to each side of the equation.
6 + -6 + -2p = 28 + -6

Combine like terms: 6 + -6 = 0
0 + -2p = 28 + -6
-2p = 28 + -6

Combine like terms: 28 + -6 = 22
-2p = 22

Divide each side by '-2'.
p = -11

Simplifying
p = -11