3(p+1)+7(p-6)=-19

Solution for 3(p+1)+7(p-6)=-19 equation:

Simplifying
3(p + 1) + 7(p + -6) = -19

Reorder the terms:
3(1 + p) + 7(p + -6) = -19
(1 * 3 + p * 3) + 7(p + -6) = -19
(3 + 3p) + 7(p + -6) = -19

Reorder the terms:
3 + 3p + 7(-6 + p) = -19
3 + 3p + (-6 * 7 + p * 7) = -19
3 + 3p + (-42 + 7p) = -19

Reorder the terms:
3 + -42 + 3p + 7p = -19

Combine like terms: 3 + -42 = -39
-39 + 3p + 7p = -19

Combine like terms: 3p + 7p = 10p
-39 + 10p = -19

Solving
-39 + 10p = -19

Solving for variable 'p'.

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

Add '39' to each side of the equation.
-39 + 39 + 10p = -19 + 39

Combine like terms: -39 + 39 = 0
0 + 10p = -19 + 39
10p = -19 + 39

Combine like terms: -19 + 39 = 20
10p = 20

Divide each side by '10'.
p = 2

Simplifying
p = 2