-5(7p-1)-(1+2p)=3+8p+1

Solution for -5(7p-1)-(1+2p)=3+8p+1 equation:

Simplifying
-5(7p + -1) + -1(1 + 2p) = 3 + 8p + 1

Reorder the terms:
-5(-1 + 7p) + -1(1 + 2p) = 3 + 8p + 1
(-1 * -5 + 7p * -5) + -1(1 + 2p) = 3 + 8p + 1
(5 + -35p) + -1(1 + 2p) = 3 + 8p + 1
5 + -35p + (1 * -1 + 2p * -1) = 3 + 8p + 1
5 + -35p + (-1 + -2p) = 3 + 8p + 1

Reorder the terms:
5 + -1 + -35p + -2p = 3 + 8p + 1

Combine like terms: 5 + -1 = 4
4 + -35p + -2p = 3 + 8p + 1

Combine like terms: -35p + -2p = -37p
4 + -37p = 3 + 8p + 1

Reorder the terms:
4 + -37p = 3 + 1 + 8p

Combine like terms: 3 + 1 = 4
4 + -37p = 4 + 8p

Add '-4' to each side of the equation.
4 + -4 + -37p = 4 + -4 + 8p

Combine like terms: 4 + -4 = 0
0 + -37p = 4 + -4 + 8p
-37p = 4 + -4 + 8p

Combine like terms: 4 + -4 = 0
-37p = 0 + 8p
-37p = 8p

Solving
-37p = 8p

Solving for variable 'p'.

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

Add '-8p' to each side of the equation.
-37p + -8p = 8p + -8p

Combine like terms: -37p + -8p = -45p
-45p = 8p + -8p

Combine like terms: 8p + -8p = 0
-45p = 0

Divide each side by '-45'.
p = 0

Simplifying
p = 0