3-(-2p-6)=-2p+1

Solution for 3-(-2p-6)=-2p+1 equation:

Simplifying
3 + -1(-2p + -6) = -2p + 1

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

Combine like terms: 3 + 6 = 9
9 + 2p = -2p + 1

Reorder the terms:
9 + 2p = 1 + -2p

Solving
9 + 2p = 1 + -2p

Solving for variable 'p'.

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

Add '2p' to each side of the equation.
9 + 2p + 2p = 1 + -2p + 2p

Combine like terms: 2p + 2p = 4p
9 + 4p = 1 + -2p + 2p

Combine like terms: -2p + 2p = 0
9 + 4p = 1 + 0
9 + 4p = 1

Add '-9' to each side of the equation.
9 + -9 + 4p = 1 + -9

Combine like terms: 9 + -9 = 0
0 + 4p = 1 + -9
4p = 1 + -9

Combine like terms: 1 + -9 = -8
4p = -8

Divide each side by '4'.
p = -2

Simplifying
p = -2