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

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

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

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

Reorder the terms:
3 + 7p = 3 + -2 + 6p

Combine like terms: 3 + -2 = 1
3 + 7p = 1 + 6p

Solving
3 + 7p = 1 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
3 + 7p + -6p = 1 + 6p + -6p

Combine like terms: 7p + -6p = 1p
3 + 1p = 1 + 6p + -6p

Combine like terms: 6p + -6p = 0
3 + 1p = 1 + 0
3 + 1p = 1

Add '-3' to each side of the equation.
3 + -3 + 1p = 1 + -3

Combine like terms: 3 + -3 = 0
0 + 1p = 1 + -3
1p = 1 + -3

Combine like terms: 1 + -3 = -2
1p = -2

Divide each side by '1'.
p = -2

Simplifying
p = -2