6(7p+1)-4(-4p-2)=72

Solution for 6(7p+1)-4(-4p-2)=72 equation:

Simplifying
6(7p + 1) + -4(-4p + -2) = 72

Reorder the terms:
6(1 + 7p) + -4(-4p + -2) = 72
(1 * 6 + 7p * 6) + -4(-4p + -2) = 72
(6 + 42p) + -4(-4p + -2) = 72

Reorder the terms:
6 + 42p + -4(-2 + -4p) = 72
6 + 42p + (-2 * -4 + -4p * -4) = 72
6 + 42p + (8 + 16p) = 72

Reorder the terms:
6 + 8 + 42p + 16p = 72

Combine like terms: 6 + 8 = 14
14 + 42p + 16p = 72

Combine like terms: 42p + 16p = 58p
14 + 58p = 72

Solving
14 + 58p = 72

Solving for variable 'p'.

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

Add '-14' to each side of the equation.
14 + -14 + 58p = 72 + -14

Combine like terms: 14 + -14 = 0
0 + 58p = 72 + -14
58p = 72 + -14

Combine like terms: 72 + -14 = 58
58p = 58

Divide each side by '58'.
p = 1

Simplifying
p = 1