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

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

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

Reorder the terms:
2[(7 + 2p) + -3(p + -1)] = -7

Remove parenthesis around (7 + 2p)
2[7 + 2p + -3(p + -1)] = -7

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

Reorder the terms:
2[7 + 3 + 2p + -3p] = -7

Combine like terms: 7 + 3 = 10
2[10 + 2p + -3p] = -7

Combine like terms: 2p + -3p = -1p
2[10 + -1p] = -7
[10 * 2 + -1p * 2] = -7
[20 + -2p] = -7

Solving
20 + -2p = -7

Solving for variable 'p'.

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

Add '-20' to each side of the equation.
20 + -20 + -2p = -7 + -20

Combine like terms: 20 + -20 = 0
0 + -2p = -7 + -20
-2p = -7 + -20

Combine like terms: -7 + -20 = -27
-2p = -27

Divide each side by '-2'.
p = 13.5

Simplifying
p = 13.5