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

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

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

Reorder the terms:
1 = -5p + 3(1 + 2p)
1 = -5p + (1 * 3 + 2p * 3)
1 = -5p + (3 + 6p)

Reorder the terms:
1 = 3 + -5p + 6p

Combine like terms: -5p + 6p = 1p
1 = 3 + 1p

Solving
1 = 3 + 1p

Solving for variable 'p'.

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

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

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

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

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

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

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

Simplifying
p = -2