7p-2(p-3)=41-3(p+1)

Solution for 7p-2(p-3)=41-3(p+1) equation:

Simplifying
7p + -2(p + -3) = 41 + -3(p + 1)

Reorder the terms:
7p + -2(-3 + p) = 41 + -3(p + 1)
7p + (-3 * -2 + p * -2) = 41 + -3(p + 1)
7p + (6 + -2p) = 41 + -3(p + 1)

Reorder the terms:
6 + 7p + -2p = 41 + -3(p + 1)

Combine like terms: 7p + -2p = 5p
6 + 5p = 41 + -3(p + 1)

Reorder the terms:
6 + 5p = 41 + -3(1 + p)
6 + 5p = 41 + (1 * -3 + p * -3)
6 + 5p = 41 + (-3 + -3p)

Combine like terms: 41 + -3 = 38
6 + 5p = 38 + -3p

Solving
6 + 5p = 38 + -3p

Solving for variable 'p'.

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

Add '3p' to each side of the equation.
6 + 5p + 3p = 38 + -3p + 3p

Combine like terms: 5p + 3p = 8p
6 + 8p = 38 + -3p + 3p

Combine like terms: -3p + 3p = 0
6 + 8p = 38 + 0
6 + 8p = 38

Add '-6' to each side of the equation.
6 + -6 + 8p = 38 + -6

Combine like terms: 6 + -6 = 0
0 + 8p = 38 + -6
8p = 38 + -6

Combine like terms: 38 + -6 = 32
8p = 32

Divide each side by '8'.
p = 4

Simplifying
p = 4