7(7p-5)-6(3p+6)=-71

Solution for 7(7p-5)-6(3p+6)=-71 equation:

Simplifying
7(7p + -5) + -6(3p + 6) = -71

Reorder the terms:
7(-5 + 7p) + -6(3p + 6) = -71
(-5 * 7 + 7p * 7) + -6(3p + 6) = -71
(-35 + 49p) + -6(3p + 6) = -71

Reorder the terms:
-35 + 49p + -6(6 + 3p) = -71
-35 + 49p + (6 * -6 + 3p * -6) = -71
-35 + 49p + (-36 + -18p) = -71

Reorder the terms:
-35 + -36 + 49p + -18p = -71

Combine like terms: -35 + -36 = -71
-71 + 49p + -18p = -71

Combine like terms: 49p + -18p = 31p
-71 + 31p = -71

Add '71' to each side of the equation.
-71 + 71 + 31p = -71 + 71

Combine like terms: -71 + 71 = 0
0 + 31p = -71 + 71
31p = -71 + 71

Combine like terms: -71 + 71 = 0
31p = 0

Solving
31p = 0

Solving for variable 'p'.

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

Divide each side by '31'.
p = 0

Simplifying
p = 0