71=-3(p+3)+4(1-4p)

Solution for 71=-3(p+3)+4(1-4p) equation:

Simplifying
71 = -3(p + 3) + 4(1 + -4p)

Reorder the terms:
71 = -3(3 + p) + 4(1 + -4p)
71 = (3 * -3 + p * -3) + 4(1 + -4p)
71 = (-9 + -3p) + 4(1 + -4p)
71 = -9 + -3p + (1 * 4 + -4p * 4)
71 = -9 + -3p + (4 + -16p)

Reorder the terms:
71 = -9 + 4 + -3p + -16p

Combine like terms: -9 + 4 = -5
71 = -5 + -3p + -16p

Combine like terms: -3p + -16p = -19p
71 = -5 + -19p

Solving
71 = -5 + -19p

Solving for variable 'p'.

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

Add '19p' to each side of the equation.
71 + 19p = -5 + -19p + 19p

Combine like terms: -19p + 19p = 0
71 + 19p = -5 + 0
71 + 19p = -5

Add '-71' to each side of the equation.
71 + -71 + 19p = -5 + -71

Combine like terms: 71 + -71 = 0
0 + 19p = -5 + -71
19p = -5 + -71

Combine like terms: -5 + -71 = -76
19p = -76

Divide each side by '19'.
p = -4

Simplifying
p = -4